IB Maths AA SL AA 2.4 practice question

Paper 1, no calculatorEasy6 marks

The graph of $f$ is shown in Figure 1. The function $g$ is defined by

g(x)=3f(x)+2.

(a)

Use Figure 1 to write down $f(1)$

[1]

(b)

State the transformations that map the graph of $f$ to the graph of $g$ in the order in which they are applied.

[2]

(c)

Hence, sketch the graph of $g$ on the same axes, marking the images of the point on $f$ for which $x=1$ and the vertex of $f$

[3]