Question

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

Answer 1

C. f(x) = 5(1/5)⁻ˣ ,  D. f(x) = 5(5)ˣ

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That is the answer.

Right on the edge final!

I hope this helps!

- sincerelynini

Answer 2

Answer:

The equations that represent the reflected functions are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$

Step-by-step explanation:

The correct question in the attached figure

we have the function

$f(x)=5(\frac{1}{5})^{x}$

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)$f(x)=5(\frac{1}{5})^{-x}$

An equivalent form will be

$f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}$

therefore

The equations that represent the reflected functions are

$f(x)=5(\frac{1}{5})^{-x}$

$f(x)=5(5)^{x}$