# Solution to #2-2

Paper 2 Difficulty:Medium

Let $f(x)=x^{2}+2$, and $g(x)=x+1$.

a) Find $f(g(x))$.

[Maximum mark:2]

b) The vector $\begin{pmatrix} 2\\ 1 \end{pmatrix}$ translates the graph of $f(g(x))$ to the graph of $h(x)$. Find the coordinates of the vertex of $h(x)$.

[Maximum mark:3]