Question

Let g(x) be the reflection of f(x) = x2 +3 in the x-axis. What is the function rule for g(x)?

A. g(x) = -x2 - 3


B. g(x) = -x2 + 3


C. g(x) = x2 - 3


D. g(x) = x2 + 3

Answer 1

f(x)

a reflection of f(x) in

the x - axist: -f(x)

the y - axist: f(-x)

Therefore

g(x) = -f(x) → g(x) = -(x² + 3) = -x² - 3

Answer: A. g(x) = -x2 - 3