Question

This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) = –4 · 10x

Answer 1

A

D

B

C

Explanation:

Answer 2

Anwers:

1. line A

2. line D

3. line B

4. line C

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

• p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

• q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

• r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

• s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.