Question

write a function g whose graph represents a horizontal shrink by a factor of 1/2 of the graph f(x)= |2x| +4

Answer 1

The function g is:

$g(x) = |4x| + 4$

----------------------

Horizontally shrinking a function f(x) by a factor of $\frac{1}{a}$ is equivalent to finding f(ax).

----------------------

In this question, the function is:

$f(x) = |2x| + 4$

Horizontally shrinking by a factor of $\frac{1}{2}$ means that $a = 2$, so:

$g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4$

Thus, the function g is:

$g(x) = |4x| + 4$

A similar question is given at brainly.com/question/20379647