Question

question 7 a transformation is performed on function a, resulting in function b. what is the transformation? function a: $f(x)=|3x - 1| - 2$ function b: $g(x)=-|3x - 1| + 2$ reflection over the x - axis reflection over the y - axis horizontal compression vertical compression

Explanation:

1. Start with Function A: $f(x) = |3x - 1| - 2$
2. A reflection over the x-axis transforms a function $f(x)$ to $-f(x)$. Calculate $-f(x)$:

$-f(x) = -(|3x - 1| - 2) = -|3x - 1| + 2$

1. This result matches Function B: $g(x) = -|3x - 1| + 2$, confirming the transformation is a reflection over the x-axis.

Answer:

A. Reflection over the x-axis