CAIE IGCSE Mathematics Extended E2.11 Sketching Curves Topic Practice

The expression $5+12 x-2 x^{2}$ can be written in the form $q-2(x+p)^{2}$.

Write down the coordinates of the maximum point of the curve $y=5+12 x-2 x^{2}$.
(.

The diagram shows the graph of y=f(x) for $-1.5\leqslant x\leqslant5$.

f(x)=k has three solutions for $-1.5\leqslant x\leqslant5$ where k$ is an integer. Find the smallest possible value of $k.

k=

On the axes, sketch the graph of $y=x^{2}+10 x+14$, indicating the coordinates of the turning point.