To find g(x), which is the reflection of f(x) across the x-axis, we need to change the sign of the function f(x).

The function f(x) is given as f(x) = -6| x - 8 | + 1.

The reflection of f(x) across the x-axis changes the sign of the entire function. Therefore, g(x) will be the negative of f(x).

So, g(x) = -f(x) = -(-6| x - 8 | + 1) = 6| x - 8 | - 1.

So, the function g(x) is g(x) = 6| x - 8 | - 1.

Question

To find g(x), which is the reflection of f(x) across the x-axis, we need to change the sign of the function f(x).

The function f(x) is given as f(x) = -6| x - 8 | + 1.

The reflection of f(x) across the x-axis changes the sign of the entire function. Therefore, g(x) will be the negative of f(x).

So, g(x) = -f(x) = -(-6| x - 8 | + 1) = 6| x - 8 | - 1.

So, the function g(x) is g(x) = 6| x - 8 | - 1.

Knowee AI · Accepted Answer

To find g(x), which is the reflection of f(x) across the x-axis, we need to change the sign of the function f(x).

The function f(x) is given as f(x) = -6| x - 8 | + 1.

The reflection of f(x) across the x-axis changes the sign of the entire function. Therefore, g(x) will be the negative of f(x).

So, g(x) = -f(x) = -(-6| x - 8 | + 1) = 6| x - 8 | - 1.

So, the function g(x) is g(x) = 6| x - 8 | - 1.

Find g(x), where g(x) is the reflection across the x-axis of f(x)=–6|x–8|+1.