The function g(x) is a transformation of the linear function f(x) = −3x + 8 that reflected across the x-axis. which of the following is the equation for g(x)?

y = 3x - 8

Explanation:

1) A reflection over the x-axis keeps the x-coordinate and change the y-coordinate to -y. This is (x,y) → (x,-y)

2) Then, you can replace the new coordinates in the original equation, f(x) to get the equation of g(x):

-y = -3x + 8 ⇒ y = 3x - 8, which is the answer.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

answer: the slope is equal -1.