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

A: g(x) = 5x − 8
B: g(x) = −5x + 8
C:g(x) = −5x − 8
D: g(x) = 5x + 8

Respuesta :

carlosego

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]

josiebricker807

Answer:

Your answer would be: B

Step-by-step explanation:

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