February/March 2026 Paper 12

Find $y$ in terms of $x$.

The equation of a different curve, $D$, is also such that $\frac{dy}{dx}=\frac{(x-3{)}^2}{\sqrt{x}}$. This curve instead passes through the point $(4,k)$. Describe, in terms of $k$, the transformation that maps curve $C$ onto curve $D$.