80.7k views
4 votes
Determine the cubic function that is obtained from the parent function y = x^3

after each sequence of transformations

Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units

User Morion
by
8.4k points

1 Answer

2 votes

Answer:

The answer here depends on whether you want to do them individually or collectively. If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

User Example Person
by
7.9k 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