Answered

Given the parent function f(x) = 8x + 9, rewrite the function after the following transformation: reflect over the x-axis. Group of answer choices g(x) = -8x + 9 g(x) = -8x - 9 g(x) = 8x - 9 g(x) = 8x + 9

Answer :

Given:

The parent function is

[tex]f(x)=8x+9[/tex]

To find:

The function after the reflection over the x-axis.

Solution:

We know that, if a function f(x) reflected over x-axis to get the function g(x), then

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

Putting [tex]f(x)=8x+9[/tex], we get

[tex]g(x)=-(8x+9)[/tex]

[tex]g(x)=-8x-9[/tex]

The function after the reflection over the x-axis is [tex]g(x)=-8x-9[/tex].

Therefore, the correct option is B.

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