Quadratic graph - student finds equation - Numbas at mathcentre.ac.uk

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steve kilgallon

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steve kilgallon 8 years, 8 months ago

Created this as a copy of Quadratic graph - student finds equation.

Name	Status	Author	Last Modified
Quadratic graph - student finds equation	Ready to use	joshua boddy	01/06/2016 09:47
Cubic graph - student finds equation	Ready to use	joshua boddy	01/06/2016 09:47
Quadratic graph - student finds equation	draft	steve kilgallon	24/08/2017 11:30
Graph transforms TEST 1	draft	steve kilgallon	26/10/2016 12:32
Graph transforms TEST 2	draft	steve kilgallon	26/10/2016 12:26
Quadratic graph vertical shift 1 (with answers)	draft	steve kilgallon	17/08/2016 15:16
Quadratic graph horizontal shift 1	draft	steve kilgallon	01/03/2023 09:16
Quadratic graph vertical stretch 1	draft	steve kilgallon	01/03/2023 09:50
Quadratic graph feflection in x-axis 1	draft	steve kilgallon	01/03/2023 09:38
Sin graph vertical shift 1	draft	steve kilgallon	04/08/2016 16:02
Sin graph horizontal shift 1 (with answers)	draft	steve kilgallon	17/08/2016 17:21
MASTER graph examples	draft	steve kilgallon	26/10/2016 12:31
General graph drawing Annimation example	draft	steve kilgallon	17/08/2016 12:19
Francis 's copy of Quadratic graph - student finds equation	draft	Francis Duah	12/08/2016 17:57
Francis 's copy of Quadratic graph - student finds equation	draft	Francis Duah	12/08/2016 17:57
Francis 's copy of Quadratic graph - student finds equation	draft	Francis Duah	12/08/2016 17:58
Cubic graph - student finds equation	draft	steve kilgallon	24/08/2017 11:41
Quadratic graph vertical shift 1	draft	steve kilgallon	27/02/2023 11:57
Sin graph horizontal shift 1	draft	steve kilgallon	18/08/2016 13:02
Sin graph horizontal shift 1 (with answers using script to check)	draft	steve kilgallon	18/08/2016 12:54
Sin graph wavelength and amplitude	draft	steve kilgallon	18/08/2016 13:16
TRIG MASTER GRAPH examples (radians)	draft	steve kilgallon	19/08/2016 12:00
TRIG MASTER GRAPH examples (degrees)	draft	steve kilgallon	21/02/2022 17:29
EXAM 1 Cubic graph - student finds equation	draft	steve kilgallon	30/08/2016 14:09
steve's copy of EXAM 1 Cubic graph - student finds equation	draft	steve kilgallon	30/08/2016 14:16
EXAM 1 Quadratic graph - student finds equation	draft	steve kilgallon	30/08/2016 14:20
Quadratic graph - student finds equation	draft	Marlon Arcila	30/08/2016 17:08
funcion cuadratica	draft	Marlon Arcila	30/08/2016 17:20
funciones plano con eje x en grados	draft	Marlon Arcila	19/09/2016 16:43
grafica con eje en radianes	draft	Marlon Arcila	19/09/2016 16:40
Vekstfart - grafisk og ved regning	draft	Ida Friestad Pedersen	30/09/2016 10:41
Vekstfart - grafisk og ved regning	draft	Morten Brekke	14/10/2016 10:42
quadratic graph eqaution	draft	steve kilgallon	01/03/2023 10:37
Sin graph horizontal shift 1 testing	draft	steve kilgallon	20/10/2016 13:46
Finding multipe solutions of sin(x)= (in degrees -360 to 360) WORKING	draft	steve kilgallon	18/02/2022 16:59
quadratic graph equation	draft	Paul Howes	13/11/2016 18:37
Finding multipe solutions of sin(x)= (in degrees)	draft	steve kilgallon	20/10/2016 22:10
Quadratic graph horizontal stretch 1	draft	steve kilgallon	01/03/2023 09:57
Quadratic horizontal and vertical shift	draft	steve kilgallon	01/03/2023 16:30
Cubic graph eqaution	draft	steve kilgallon	02/03/2023 11:49
Cubic graph vertical shift	draft	steve kilgallon	01/03/2023 16:33
Cubic graph horizontal shift	draft	steve kilgallon	01/03/2023 16:45
Finding multipe solutions of sin(x)= (in degrees 0 to 360) WORKING	Ready to use	steve kilgallon	11/01/2024 11:06
Growth rate - by graph and calculating	draft	Robert Førland	05/11/2016 12:29
Hannah's copy of Quadratic horizontal and vertical shift	draft	Hannah Bartholomew	02/11/2016 11:37
Quadratic graph - student finds equation	draft	Morten Brekke	02/11/2016 14:33
mock_exam Quadratic graph - student finds equation	draft	steve kilgallon	06/11/2016 13:07
mock_exam Cubic graph - student finds equation	draft	steve kilgallon	06/11/2016 13:07
mock_exam Finding multipe solutions of sin(x)= (in degrees 0 to 360) WORKING	draft	steve kilgallon	27/11/2017 12:42
mock_exam Finding multipe solutions of sin(x)= (in degrees -360 to 360) WORKING	draft	steve kilgallon	27/11/2017 12:43
exam Finding multipe solutions of sin(x)= (in degrees 0 to 360) WORKING	draft	steve kilgallon	07/11/2016 08:25
Amplitude, periode og likevektslinje	draft	Ida Friestad Pedersen	11/11/2016 08:47
a sin(bx) graph	draft	Paul Howes	01/10/2020 12:45
a cos(bx) graph	draft	Paul Howes	14/11/2016 11:23
slope of graph multi choice	draft	Paul Howes	14/11/2016 18:08
Quadratic graph equation	draft	Hannah Bartholomew	02/12/2016 10:05
QM101_REFERRAL_exam_2016_17 Cubic graph - student finds equation	draft	steve kilgallon	05/01/2017 11:25
BY138_referral_exam Cubic graph - student finds equation	draft	steve kilgallon	05/01/2017 14:49
Quadratics: Determine the equation of a parabola	Ready to use	Lovkush Agarwal	18/06/2018 12:55
Differentiation, graphs: Number of roots and stationary points of a graph	Ready to use	Lovkush Agarwal	18/06/2018 13:23
Algebra: functions, determining function values from graph	Ready to use	Lovkush Agarwal	13/11/2018 14:30
Straight lines, functions: Reading a graph of a straight line.	Ready to use	Lovkush Agarwal	18/06/2018 12:54
Differentiation: coordinates of stationary points from a graph	Ready to use	Lovkush Agarwal	18/06/2018 12:56
Differentiation: gradient positive or negative	Ready to use	Lovkush Agarwal	18/06/2018 12:58
Paul 's copy of Reading a graph of a function.	draft	Paul Howes	08/02/2017 14:40
Integrasjon og areal 1	draft	Ida Friestad Pedersen	20/02/2017 17:01
Ethan's copy of Equation of a Quadratic Graph	draft	Ethan Smith	22/02/2017 03:33
Hina's copy of MASTER graph examples	draft	Hina Ahmed	24/03/2017 16:00
Maximum and Minimum points on a curve	draft	David Rickard	05/05/2017 22:42
Algebra: graphs of functions, straight line	draft	Lovkush Agarwal	20/06/2018 14:20
Algebra: Functions, inverses and compositions	draft	Lovkush Agarwal	25/11/2018 11:41
Algebra. Procedures. Version 1	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra. Procedures. Version 2	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra. Procedures. Version 3	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra. Procedures. Version 4	draft	Lovkush Agarwal	20/06/2018 15:00
Algebra: solving equations graphically. Version 1	Ready to use	Lovkush Agarwal	20/06/2018 14:14
Algebra: solving equations graphically. Version 2	Ready to use	Lovkush Agarwal	20/06/2018 14:14
Algebra: solving equations graphically. Version 3	Ready to use	Lovkush Agarwal	20/06/2018 14:14
Algebra: solving equations graphically. Version 4	Ready to use	Lovkush Agarwal	20/06/2018 14:14
George's copy of Equation of a Quadratic Graph	draft	George Loughlin	06/07/2017 15:09
Differentiation: Derivative of a graph. I	Ready to use	Lovkush Agarwal	19/06/2018 15:50
Differentiation: Derivative of a graph. III	Ready to use	Lovkush Agarwal	19/06/2018 15:51
Differentiation: Derivative of a graph. II	Ready to use	Lovkush Agarwal	19/06/2018 15:51
Differentiation: Derivative of a graph. IV	Ready to use	Lovkush Agarwal	19/06/2018 15:51
Integration: Integral of a graph. Version IV	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Integration: Integral of a graph. Version II	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Integration: Integral of a graph. Version I	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Integration: Integral of a graph. Version III	Ready to use	Lovkush Agarwal	20/06/2018 17:24
Reading a graph of a straight line.	Ready to use	Beka Zarnadze	09/08/2017 11:06
Gradient positive or negative.	draft	Adrian Jannetta	16/08/2023 14:56
Algebra: functions, determine coordinates of graph algebraically	draft	Lovkush Agarwal	03/04/2020 17:14
Adrian's copy of Quadratic graph - student finds equation	draft	Adrian Jannetta	16/08/2023 14:56
Helge's copy of Adrian's copy of Quadratic graph - student finds equation	draft	Helge Münnich	09/10/2017 21:20
Sketching graph: which graphs are quadratic graphs	draft	Lovkush Agarwal	23/10/2019 11:17
Algebra: number of solutions of quadratic based on graph	draft	Lovkush Agarwal	24/10/2018 10:31
Sketching graphs: quadratics	draft	Lovkush Agarwal	08/11/2019 14:12
Differentiation: Displacement-time to velocity-time graphs	Ready to use	Lovkush Agarwal	11/02/2021 10:03
Differentiation: Anti-differentiation of constant function, graphically.	draft	Lovkush Agarwal	19/06/2018 16:09
Algebra: trig, graphs, solving equations	draft	Lovkush Agarwal	20/06/2018 12:57
W1 Copy of Displacement-time to velocity time graphs	draft	Stuart Turner	09/11/2017 16:17
Algebra: exp and log, graphs, solving equations	draft	Lovkush Agarwal	15/04/2020 10:01
Sketching graphs: which graphs are quadratic graphs	draft	Lovkush Agarwal	19/06/2018 16:41
Sketching graphs: which graphs are cubic graphs	draft	Lovkush Agarwal	19/06/2018 16:41
Sketching graphs: which graphs are exponentials	draft	Lovkush Agarwal	29/11/2019 12:42
Sketching graphs: which graphs are logarithmic	draft	Lovkush Agarwal	19/06/2018 16:41
Sketching graphs: which graphs are sine and cosine	draft	Lovkush Agarwal	02/04/2020 10:40
Differentiation: Equation of tangent. Quadratic	draft	Lovkush Agarwal	19/06/2018 15:40
Grainne's copy of Derivative of a graph, multiple choice. Version IV	draft	Grainne Scanlon	16/01/2018 13:43
Differentiation: Equation of tangent. Chain rule.	draft	Lovkush Agarwal	12/01/2023 10:35
Number of Stationary Points of a Cubic	draft	Lovkush Agarwal	19/06/2018 10:21
Differentiation: coordinates of stationary points from a graph	draft	Lovkush Agarwal	28/01/2019 08:47
Gradient positive or negative.	draft	Lovkush Agarwal	19/06/2018 10:21
Differentiation: Equation of tangent. Chain rule. Shorter	draft	Lovkush Agarwal	19/06/2018 09:50
Julie's copy of Helge's copy of Adrian's copy of Quadratic graph - student finds equation	draft	Julie Crowley	03/04/2018 23:27
Marte's copy of Quadratic graph - student finds equation	draft	Marte Bråtalien	12/04/2018 15:07
Quadratic graph - student finds equation	draft	David Goulding	27/04/2018 14:27
Shan's copy of Integration: Integral of a graph. Version III	draft	Shan Lou	21/06/2018 11:30
Shan's copy of Shan's copy of Integration: Integral of a graph. Version III	draft	Shan Lou	21/06/2018 11:30
Nick's copy of Differentiation: Displacement-time to velocity-time graphs	draft	Nick Walker	22/06/2018 00:40
Nick's copy of Differentiation: Derivative of a graph. IV	draft	Nick Walker	22/06/2018 00:42
Nick's copy of Differentiation: coordinates of stationary points from a graph	draft	Nick Walker	22/06/2018 00:43
Nick's copy of Differentiation, graphs: Number of roots and stationary points of a graph	draft	Nick Walker	22/06/2018 00:43
Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:06
Jan's copy of Integration: Integral of a graph. Version IV	draft	Jan Harte	28/06/2018 01:06
Daniel's copy of Integration: Integral of a graph. Version IV	draft	Daniel Mansfield	28/06/2018 01:07
Praneetha's copy of Integration: Integral of a graph. Version III	draft	Praneetha Singh	28/06/2018 01:06
Sara's copy of Sketching graph: which graphs are quadratic graphs	draft	Sara Waugh	28/06/2018 01:07
Praneetha's copy of Integration: Integral of a graph. Version IV	draft	Praneetha Singh	28/06/2018 01:07
Jasmine's copy of Daniel's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:09
test #1	draft	Praneetha Singh	28/06/2018 01:12
Jasmine's copy of Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:13
Shantha's copy of Sara's copy of Sketching graph: which graphs are quadratic graphs	draft	Shantha Bose	28/06/2018 01:16
Integration: Integral of a graph. Version IV	Ready to use	Jasmine Zhang	28/06/2018 01:22
Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	28/06/2018 01:28
Integration: Integral of a graph. Version IV	draft	Stephen Face	28/06/2018 05:06
Praneetha's copy Sara's copy of Sketching graph: which graphs are quadratic graphs	draft	Praneetha Singh	28/06/2018 05:45
Jasmine's copy of Jasmine's copy of Jasmine's copy of Integration: Integral of a graph. Version IV	draft	Jasmine Zhang	22/07/2018 09:15
Algebra: Functions, inverses and compositions [L3 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:48
Algebra: graphs of functions, straight line [L2 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:46
Integration: Integral of a graph [L10 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:46
Number of roots	draft	Vicky Mason	11/09/2018 14:26
Vicky's copy of Functions: Reading a graph of a function	draft	Vicky Mason	11/09/2018 14:29
Algebra: Graphs of functions, straight line	draft	Clare Lundon	05/10/2018 22:36
Differentiation: Equation of tangent to Quadratic	Ready to use	Clare Lundon	21/02/2023 20:08
Algebra: solving a quadratic equation graphically.	draft	Lovkush Agarwal	07/04/2020 10:05
Algebra: functions, determining function values from graph	draft	Lovkush Agarwal	03/04/2020 17:12
Algebra: solving a (quadratic) function graphically	draft	Lovkush Agarwal	13/11/2018 14:50
Algebra: trig graphs, sin, basic	draft	Lovkush Agarwal	02/04/2020 10:46
Algebra: trig graphs, cos, basic	draft	Lovkush Agarwal	15/11/2019 18:27
Algebra: number of solutions of quadratic based on graph	draft	Clare Lundon	19/11/2018 09:57
Algebra: Equation of tangent. Quadratic	draft	Lovkush Agarwal	10/04/2020 09:46
Differentiation: Equation of tangent. Quadratic	Ready to use	Johnny Yi	26/11/2018 05:27
Barry's copy of Sketching graphs: quadratics	draft	Barry Zhang	29/11/2018 05:23
Johnny's Differentiation: Equation of tangent. Quadratic	draft	Johnny Yi	03/12/2018 06:05
David's copy of Sin graph wavelength and amplitude	draft	David Rickard	03/12/2018 21:31
Function composition (numerical)	draft	Daniel Mansfield	26/01/2020 04:30
Differentiation: Graphically determine derivative	draft	Lovkush Agarwal	13/12/2022 13:04
Differentiation: Equation of tangent. Quadratic	draft	Lovkush Agarwal	20/04/2020 14:26
Prerequisites: reading graph and symmetry	draft	Lovkush Agarwal	23/01/2019 17:43
Differentiation: Equation of Tangent- Quadratic	draft	Clare Lundon	03/02/2020 10:04
Laura's copy of Sketching graphs: quadratics	draft	Laura Horton	07/02/2019 13:25
Integrasjon og areal 1	draft	Ida Friestad Pedersen	22/02/2019 13:21
Gizem's example for multiple answers to a question	draft	Gizem Intepe	02/03/2019 05:15
Gizem's copy of Algebra: solving a quadratic equation graphically.	draft	Gizem Intepe	02/03/2019 05:48
Differentiation: Equation of tangent. Quadratic	draft	Lovkush Agarwal	23/03/2020 09:13
Finding Derivative From a Graph, for W6 tute	draft	Joshua Calcutt	25/08/2020 09:21
Derivative Question 3 (Select the graph that shows the derivative of the graph above)	draft	Joshua Calcutt	25/08/2020 00:25
John's copy of Derivative Question 3	draft	John Wick	29/04/2019 12:09
Vertical Shift	draft	Johnny Yi	30/04/2019 03:35
Maria's copy of Laura's copy of Sketching graphs: quadratics	draft	Maria Aneiros	25/05/2019 07:26
Maria's copy of Algebra: functions, determining function values from graph	draft	Maria Aneiros	25/05/2019 07:26
Maria's copy of W1 Copy of Displacement-time to velocity time graphs	draft	Maria Aneiros	27/05/2019 04:31
Maria's copy of Algebra: Functions, inverses and compositions	Needs to be tested	Maria Aneiros	05/02/2020 06:56
Quadratic Graphs	draft	Kevin Bohan	05/06/2019 10:21
Shivendra's copy of Integration: Integral of a graph [L10 Randomised]	draft	Deactivated user	05/01/2020 16:21
Exam09 - sine and cosine	draft	Michael Proudman	07/12/2021 09:54
nuExam09 - sine and cosine	draft	Michael Proudman	07/12/2021 09:54
Differentiation: Equation of tangent. Quadratic	draft	Xiaodan Leng	10/07/2019 23:02
Algebra: functions, determining function values from graph	draft	Xiaodan Leng	10/07/2019 23:08
Integration: Integral of a graph. Version IV	draft	Xiaodan Leng	11/07/2019 00:00
Integral of a graph. Version IV	draft	Xiaodan Leng	11/07/2019 00:01
Integral of a graph. Version III	draft	Xiaodan Leng	11/07/2019 00:02
Integral of a graph. Version II	draft	Xiaodan Leng	11/07/2019 00:02
Integral of a graph. Version I	draft	Xiaodan Leng	11/07/2019 00:03
solving equations graphically. Version 4	draft	Xiaodan Leng	11/07/2019 00:04
solving equations graphically. Version 3	draft	Xiaodan Leng	11/07/2019 00:04
solving equations graphically. Version 3	draft	Xiaodan Leng	11/07/2019 00:05
solving equations graphically. Version 2	draft	Xiaodan Leng	11/07/2019 00:05
solving equations graphically. Version 1	draft	Xiaodan Leng	11/07/2019 00:06
Differentiation: Derivative of a graph. IV	draft	Xiaodan Leng	11/07/2019 00:06
Differentiation: Derivative of a graph. III	draft	Xiaodan Leng	11/07/2019 00:07
Differentiation: Derivative of a graph. II	draft	Xiaodan Leng	11/07/2019 00:07
Differentiation: Derivative of a graph. I	draft	Xiaodan Leng	11/07/2019 00:08
Differentiation, graphs: Number of roots and stationary points of a graph	draft	Xiaodan Leng	11/07/2019 00:09
Differentiation: gradient positive or negative	draft	Xiaodan Leng	11/07/2019 00:09
Differentiation: coordinates of stationary points from a graph	draft	Xiaodan Leng	11/07/2019 00:10
Quadratics: Determine the equation of a parabola	draft	Xiaodan Leng	11/07/2019 00:11
Quadratic graph - student finds equation	draft	Xiaodan Leng	11/07/2019 06:40
Thomas's copy of Nick's copy of Differentiation, graphs: Number of roots and stationary points of a graph	draft	Thomas Waters	11/09/2019 22:19
Number of roots and stationary points of a graph	Ready to use	Thomas Waters	08/06/2021 13:35
Musa's copy of 3 solving equations graphically, x-y intercepts	draft	Musa Mammadov	27/06/2023 01:27
Musa's copy of 3 Number of roots and stationary points of a graph	draft	Musa Mammadov	27/06/2023 01:35
Musa's copy of 5 Number of roots and stationary points of a graph	draft	Musa Mammadov	20/07/2023 01:38
T1	Ready to use	Shaheen Charlwood	16/05/2022 14:22
C7	Has some problems	Shaheen Charlwood	24/07/2022 14:12

There are 234 other versions that do you not have access to.

Question statement

{eqnline(a,b,x2,y2)}

The above graph shows a graph of a quadratic equation, it is your task to find this equation.

You are given the two points of the curve with the x axis, $(\var{b},0)$ and $(\var{a},0)$ , and the $y$ -intercept at $(0,\var{c})$ as indicated on the diagram.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	1
x2	integer	3
b	integer	-5
y2	integer	-2
c	integer	-5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-4..4 except 0)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

Statement
Advice
"Part a)" → "Unnamed gap" - Correct answer
"Part b)" → "Gap 0." - Correct answer
"Part b)" → "Gap 1." - Correct answer

Parts

Part a) Gap-fill
1. Gap Mathematical expression
  Add
Part b) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Write the equation of the line in the diagram.

$y=\;$Unnamed gap

Advice

We know that the graph crosses the $x$-axis at both $(\var{a},0)$ and $(\var{b},0)$. Since this is a quadratic, we know our equations has two roots, and by the previous observation, they are at $\var{a}$ and $\var{b}$. Hence we can write our equation as $\simplify{y=(x-{a})(x-{b})}$ which simplifies to $\simplify{y=x^2-({a}+{b})x+({a}*{b})}$.

To find the coefficients of the turning point of the quadratic, we know the x-coordinate of the turning point will correspond to the solution to $dy/dx=0$. So we get $\simplify{2x-({a}+{b})}=0$ hence $\simplify{x=({a}+{b})/2}$. We substitute this value of x back into the equation of the quadratic to find the corresponding y-coordinate.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

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Quadratic graph - student finds equation

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Comment

Checkpoint description

steve kilgallon 8 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Quadratic graph - student finds equation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

steve kilgallon 8 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`