Mathematics

Question

What is the equation of this function after it is reflected over the x-axis?
What is the equation of this function after it is reflected over the x-axis?

2 Answer

  • b . F(x) = -(x+4)^3 because the square root


  • Answer:

    Option: B is the correct answer.

    the equation of this function after it is reflected over the x-axis is:

                                  B)  [tex]F(x)=-(x+4)^3[/tex]

    Step-by-step explanation:

    We know that for any function [tex]y=f(x)[/tex] if we reflect the function f(x) over the x-axis, then the transformation that is applied to the function f(x) is:

                               [tex]y=-f(x)[/tex]

    Here we are given a graph of the function [tex]F(x)[/tex] which is given by:

                                          [tex]F(x)=(x+4)^3[/tex]

    Hence, when we reflect this given function over the x-axis than the transformed function is given by:

                                [tex]F(x)=-(x+4)^3[/tex]

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