Question

Hello guys, i need help with this question, plz show me the working so i know how you did it. ThANK YOU

Answer 1

Given:

Parent function is
`f(x)=5^x`.

New function is
`y=-2(5)^(3x)+8`.

To find:

The equation of function after each transformation.

Solution:

We have,

`f(x)=5^x`

The equation of parent function is

`y=5^x`

1.
`y=5^(3x)` (Horizontal compression by factor 3)

2.
`y=2(5)^(3x)` (Vertical stretch by factor 2)

3.
`y=-2(5)^(3x)` (Reflected across x-axis)

4.
`y=-2(5)^(3x)+8` (Shift 8 units above)

Therefore, these are the required answers.