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

Question

asked Sep 9, 2023 156k views

1 Answer

Shole · Answer 1 · 2023-09-13T12:15:00+0000

SOLUTION:

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:

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