152k views
2 votes
Complete the following to describe the translations from the parent function for the given function

Complete the following to describe the translations from the parent function for the-example-1
User AaronS
by
7.7k points

1 Answer

0 votes

The parent function is given by


y=\sqrt[3]{x}

The transformed function is given by


y=-2\sqrt[3]{x+3}-7

Reflection:

Notice that the transformed function is being multiplied with a negative sign.

This is a reflection over the x-axis.

Stretch/Compression:

Notice that the transformed function is being multiplied with a scale factor of 2 which is greater than 1.

Therefore, it is a vertical stretch of 2.

Horizontal translation:

Notice that the transformed function is being translated to the left by 3 units.

Therefore, this is a horizontal translation to the left by 3 units.

Vertical translation:

Notice that the transformed function is being translated downward by 7 units.

Therefore, this is a vertical translation down by 7 units.

User Patrik Alexits
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories