Question

The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two options.

f(x) = One-fifth
f(x) = One-fifthOne-fifthOne-fifth
f(x) = 5One-fifth
f(x) = 5(5)x
f(x) = 5(5)–x

Answer 1

c,d

Explanation:

Answer 2

The equations that represent the reflected function are

`f(x)=5((1)/(5))^(-x)`

`f(x)=5(5)^(x)`

Explanation:

The correct question in the attached figure

we have the function

`f(x)=5((1)/(5))^(x)`

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

`f(−x) = f(x).`

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative x-values)

`f(x)=5((1)/(5))^(-x)`

An equivalent form will be

`f(x)=5((1)/(5))^((-1)(x))=5[((1)/(5))^(-1))]^(x)=5(5)^(x)`

therefore

The equations that represent the reflected function are

`f(x)=5((1)/(5))^(-x)`

`f(x)=5(5)^(x)`