Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. what is the function rule for g(x)?


Asked by maham237 @ in Mathematics viewed by 347 People


Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. What is the function rule for g(x)? A. g(x) = -x 2 - 3 B. g(x) = -x 2 + 3 C. g(x) = x 2 - 3 D. g(x) = x 2 + 3

Answered by maham237 @



A reflection of the function y=f(x) in the x-axis forms from the function y=f(x) th function y=-f(x).

When reflecting the function f(x)=x^2+3 in the x-axis, you will get the function

g(x)=-f(x)=-(x^2+3).

Eliminate brackets, then

g(x)=-x^2-3.

Answer: correct choice is A


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