charityymatt2016
charityymatt2016 charityymatt2016
  • 09-06-2017
  • Mathematics
contestada

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

Respuesta :

frika
frika frika
  • 17-11-2018

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

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

[tex]g(x)=-f(x)=-(x^2+3).[/tex]

Eliminate brackets, then

[tex]g(x)=-x^2-3.[/tex]

Answer: correct choice is A

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