\( f(x)=2 x^{2}+2 \) and \( g(x)=2^{x}+1 \) are defining equations of graphs of \( f \) and \( g \) resepectively \( 1.1 \quad \) Write down an equation for the asymptote of \( g \). \( 1.2 \quad \begin{array}{l}\text { Sketch the graphs of } f \text { and } g \text { on the same set of axes, clearly showing ALL intercepts } \\ \text { with the axes, turning points and asymptotes. } \\ 1.3 \\ \text { Write down the range of } f \text {. } \\ 1.4 \quad \text { Determine the maximum value of } h \text { if } h(x)=3^{f(x)} \text {. } \\ 1.5 \quad \begin{array}{l}\text { What transformation does the graph of } y=f(x) \text { undergo in order to obtain the graph } \\ \text { of } y=2 x^{2}-2 ?\end{array}\end{array} \) (12)