Question

Which function results after applying the sequence of transformations to f(x)=x^5

Compress vertically by 1/2

Shift left 2 units
Shift down 1 unit

Answer 1

A is very correct

Explanation:

Answer 2

The final function is
`g(x)=(1)/(2)(x+2)^5-1`

A is correct

Explanation:

Given: Parent function
`f(x)=x^5`

We need to apply sequence of transformation.

Step 1: Compress vertically by 1/2

If function compress vertically number multiply by factor

`f(x)=(1)/(2)x^5`

Step 2: Shift 2 unit left

For left and right shift change in horizontal.

For a unit change , x-> x+a

`f(x)=(1)/(2)(x+2)^5`

Step 3: Shift 1 unit down

For up and down change in y value or vertically shift.

For down subtract 1 unit from function

`f(x)=(1)/(2)(x+2)^5-1`

Please see the attachment for transformation step by step.

Hence, The final function is
`f(x)=(1)/(2)(x+2)^5-1`