Question

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

Answer 1

Answer:

A is very correct

Step-by-step explanation:

Answer 2

Answer:

The final function is $g(x)=\dfrac{1}{2}(x+2)^5-1$

A is correct

Step-by-step 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

$f(x)=\dfrac{1}{2}x^5$

Step 2: Shift 2 unit left

For left and right shift change in horizontal.

For a unit change , x-> x+a

$f(x)=\dfrac{1}{2}(x+2)^5$

Step 3: Shift 1 unit down

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

For down subtract 1 unit from function

$f(x)=\dfrac{1}{2}(x+2)^5-1$

Please see the attachment for transformation step by step.

Hence, The final function is $f(x)=\dfrac{1}{2}(x+2)^5-1$