To find g(x), the reflection of f(x) across the y-axis, we need to replace every x in the function f(x) with -x.

So, f(x) = -5|x + 10| + 2 becomes g(x) = -5|-x + 10| + 2.

This is because when we reflect a function across the y-axis, the x-coordinates of the points on the function change sign.

So, g(x) = -5|-x + 10| + 2 is the reflection of f(x) = -5|x + 10| + 2 across the y-axis.

Question

To find g(x), the reflection of f(x) across the y-axis, we need to replace every x in the function f(x) with -x.

So, f(x) = -5|x + 10| + 2 becomes g(x) = -5|-x + 10| + 2.

This is because when we reflect a function across the y-axis, the x-coordinates of the points on the function change sign.

So, g(x) = -5|-x + 10| + 2 is the reflection of f(x) = -5|x + 10| + 2 across the y-axis.

Knowee AI · Accepted Answer

To find g(x), the reflection of f(x) across the y-axis, we need to replace every x in the function f(x) with -x.

So, f(x) = -5|x + 10| + 2 becomes g(x) = -5|-x + 10| + 2.

This is because when we reflect a function across the y-axis, the x-coordinates of the points on the function change sign.

So, g(x) = -5|-x + 10| + 2 is the reflection of f(x) = -5|x + 10| + 2 across the y-axis.

Find g(x), where g(x) is the reflection across the y-axis of f(x)=–5|x+10|+2.