Question

In each pair of graphs shown here, the values of function g are the values of function f multiplied by a scale factor. Express g in terms of f using function notation.

Answer 1

From the given graph, we can note that

$\begin{gathered} f(0)=-8 \\ \text{and} \\ g(0)=-13.6 \end{gathered}$

the factor between these values is

$\frac{-13.6}{-8}=1.7$

this implies that

$g(0)=1.7f(0)$

and this relationship applies for every point in the graph. Therefore, the answer is

$g(x)=1.7f(x)$