Question

Let g (x) be the reflection across the y-axis of the function f (x) = 5x + 8. Identify the rule for g (x). g(x) = 5x + 8g (x) = -5x+8g (x) = -5x -8g (x) = 5x - 8

Answer 1

Given a function f(x), we can write the function g(x), where g(x) is the reflection over teh y-axis of f(x) by:

`g(x)=f(-x)`

In this case, the function given is:

`f(x)=5x+8`

Thus the reflection over the y-axis is:

`g(x)=f(-x)=5(-x)+8`

Now simplify:

`g(x)=-5x+8`

hus the answer is:

g (x) = -5x+8 (second option)