Answer:
Option B: g(x) = −5x + 8
Step-by-step explanation:
If we have a function f(x) and wish to make a function g (x) that is equal to the reflection of the function f(x) on the y-axis, then we must make the following transformation to f(x):
[tex]g(x) = f(-x)[/tex]
In this case:
[tex]f(x) = 5x +8[/tex].
So when applying the transformation we obtain:
[tex]g(x) = f(-x) = 5(-x) + 8[/tex]
Finally we have that
[tex]g(x) = -5x +8[/tex]
