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.
