Question

Suppose f(x) = x2 and g(x) = 5x2. Which statement best compares the graph

Answer 1

The transformation is

$g(x)=5f(x)$

Whenever you transform a function like

$f(x)\mapsto kf(x)$

You're stretching the function vertically. So, the graph of g(x) is the graph of f(x), stretched vertically with a scale factor of 5.