Question

Write a function based on the given parent function and transformation Please check photo

Answer 1

Case: Function transformation

Method:

Step 1:

Parent function:

`y=\sqrt[3]{x}`

The graph:

Step 2:

Transformation: Shift 7 units to left

`y=\sqrt[3]{(x+7)}`

The graph:

Step 3:

The transformation: Stretch horizontally by a factor of 6

`y=\sqrt[3]{((1)/(6)(x)+7)}`

The graph:

Step 4:

Transformation : Reflex across the x-axis

`y=-\sqrt{((1)/(6)(x)+7)}`

The graph:

The purple line shows the reflection

Final answer:

`y=-\sqrt[3]{((1)/(6)(x)+7)}`