Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(nx)$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(x+n)$.

Evaluating a quadratic function for a given value of $t$.

Finding composite functions of a quadratic function and an exponential function.

Calculating the area enclosed between a cosine function and a quadratic function by integration. The limits (points of intersection) are given in the question.

Solving a pair of simultaneous equations of the form $y=mx+c_1$ and $y=ax^2+kx+c_2$ to find the possible values for the unknown coefficient $k$, when given the values of $m$, $a$, $c_1$ and $c_2$.

Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.

Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.

Solving a quadratic equation of the form $ax^2+bx+c=0$ using the quadratic formula.

Determining the number of real roots a quadratic equation has by evaluating and interpreting the discriminant.

Given a cubic expression and a linear factor, calculate the remaining quadratic factor.

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Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

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Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

A quadratic and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

No description given

Some quadratics are to be solved by factorising

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

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A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Identify co-efficients, then use quadratic formula to find roots.

All set to be distinct and real. Some can be non-integer (0.5 steps)

Solve quadratic equations (non-simple case, two real, discrete integer roots) using the formula.

Solve quadratic equations (non-simple case, two real, discrete roots) using the formula. Some, random, non integer roots.

Calculate discriminant of quadratic equations and use to determine number/nature of roots.

Calculation of quadratic discriminants.

State nature of roots.