Question

question 5 of 10
f(x) = -3(x + 2)^3
what is the equation of this function after it is reflected over the x-axis?
a. f(y) = -3(y + 2)^3
b. f(x) = -3(-x + 2)^3
c. f(x) = 3(x + 2)^3
d. f(x) = 3(x - 2)^3

Explanation:

Step1: Recall x-axis reflection rule

Reflecting over x-axis replaces $f(x)$ with $-f(x)$.

Step2: Apply rule to given function

Given $f(x) = -3(x+2)^3$, compute $-f(x) = -[-3(x+2)^3] = 3(x+2)^3$.

Answer:

C. $f(x) = 3(x + 2)^3$