Mathematics 9709 · AS & A Level · Functions

Functions — practice question

A curve goes through the point $\left(\frac{4}{5}, -3\right)$ and has $\frac{dy}{dx} = \frac{-20}{(5x - 3)^2}$.
(a)[4]

Find the curve's equation.

(b)[3]

A stretch in the $x$-direction with scale factor $\frac{1}{2}$ is followed by a translation of $\begin{pmatrix} 2 \\ 10 \end{pmatrix}$. Find the equation of the transformed curve.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out the integration to arrive at $k(5x-3)^{-1}$

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