Question

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

Answer 1

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):

$g(x) = f(-x)$

In this case:

$f(x) = 5x +8$.

So when applying the transformation we obtain:

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

Finally we have that

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

Answer 2

Answer:

Your answer would be: B

Step-by-step explanation: