Question

Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

g(x) = –3/7(2)x
g(x) = 3/7(–2)x
g(x) = 3/7(one-half)–x
g(x) = 7/3(2)–x

Answer 1

A is correct just did the review on edge 2021

Explanation:

Answer 2

Given:

The given function is
`f(x)=(3)/(7)(2)^(x)`

We need to determine the reflection of f(x) over the x - axis

Reflection over x - axis:

The translation rule to reflect over the x - axis is given by

`(x, y) \rightarrow(x,-y)`

Reflecting the function over the x - axis, we get;

`-y=(3)/(7)(2)^(x)`

Multiplying -1 to both sides of the equation, we have;

`y=-(3)/(7)(2)^(x)`

This can be written as

`g(x)=-(3)/(7)(2)^(x)`

Hence, the reflection of the function over the x - axis is
`g(x)=-(3)/(7)(2)^(x)`

Thus, Option A is the correct answer.