Question

Write the transformed function g on the right.

f(x) = | x-7 | + 4 ; reflection in the y-axis

Answer 1

To create a reflection of the function \(f(x) = |x - 7| + 4\) in the y-axis, you simply replace \(x\) with \(-x\) to get the transformed function \(g(x)\):

\(g(x) = |(-x) - 7| + 4\)

Simplify:

\(g(x) = |-x - 7| + 4\)