Question

Which statement describes the graph of function g compared to function f?

F(x)=6^x-2
G(x)=0.4(6)^x-2

A. The graph of g is a horizontal compression to the graph of function f.

B. The graph of g is a vertical compression of the graph of function f.

C. The graph of g is a horizontal stretch of the function f

D. The graph is a vertical stretch of the graph of function f.

Answer 1

The correct answer is D

Explanation:

Its the last graph bc i just did it and got it right edg.20

Answer 2

Answer: OPTION B.

Explanation:

Below are some transformations for a function f(x):

1. If
`f(ax)` and
`a>1`, the function is compressed horizontally by a factor of
`(1)/(a)`.

2. If
`f(ax)` and
`0<a<1`, the function is stretched horizontally by a factor of
`(1)/(a)`.

3. If
`bf(x)` and
`0<b<1`, the function is compressed vertically by a factor of "b".

4. If
`bf(x)` and
`b>1`, the function is stretched vertically by a factor of "b".

In this case you have the function f(x):

`f(x)=6^(x-2)`

And the function g(x):

`g(x)=0.4(6)^(x-2)`

So, you can identify that:

`g(x)=bf(x)` and
`0<b<1`

Therefore, the graph of the function g(x) is a vertical compression of the graph of function f(x).