Solution to #2-2

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]


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