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Student estimates, then calculates exactly and symbolically the value of k for a parabola y=kx2 which passes through a given point.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are members of Engineering Statics :
William Haynes
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said | Ready to use | 2 years, 4 months ago |
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William Haynes 2 years, 4 months ago
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William Haynes 2 years, 4 months ago
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William Haynes 2 years, 4 months ago
Created this.There is only one version of this question that you have access to.
| Name | Type | Generated Value |
|---|
| applet | ggbapplet |
HTML node
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| k | number |
1
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| A | vector |
vector(-1.6,2.56)
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| h | expression |
y'
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| point | list |
[ "x\'", "y\'" ]
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| b | expression |
x'
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Generated value: ggbapplet
This variable doesn't seem to be used anywhere.
Gap-fill
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Use the slider to find the approximate value of $k$ ($\pm 0.1$) required so that the parabola passes through the indicated point. (You may use the arrow keys for finer adjustment of the slider.)
$k_{est} = $
Now substitute the coordinates of the known point into the equation of the parabola and solve for the exact value of $k$ to three significant figures.
$k =$
Determine the equation for a parabola with a vertex at the origin, which passes through a known point located at $(\var{b}, \var{h})$.
$y =$
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