Paper 2
Difficulty:Medium
Let $latex f(x)=x^{2}+2$, and $latex g(x)=x+1$.
a) Find $latex f(g(x))$.
[Maximum mark:2]b) The vector $latex \begin{pmatrix} 2\\ 1 \end{pmatrix}$ translates the graph of $latex f(g(x))$ to the graph of $latex h(x)$. Find the coordinates of the vertex of $latex h(x)$.
[Maximum mark:3]