Question

This is the graph of function f:yA+Noso86+f4+2+A+++ 22 4 6 8-4-6--8-6-4ܗFunction g is defined as g(x) = f(4x).What is the graph of g?

Answer 1

The graph of f is a square root function.

The function is defined by

$f(x)=\mleft|x\mright|-4$

Since we are given the relationship g(x) = f(4x)

Thus:

$g\mleft(x\mright)=\mleft|4x\mright|-4$

The graphs of the functions are shown below