Question

Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4? y = x cubed 4 y = (x 4) cubed y = 4 x cubed y = x superscript 4

Answer 1

Answer:

A

Step-by-step explanation:

edge, 2022

Answer 2

The required function when the parent function is stretched comes to be $f(x)=x^{3} +4$.

The parent function is:

$f(x)=x^3$

How vertical translation of the graph of a function takes place?

If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.

Given function $f(x)=x^3$ is vertically shifted by 4 units

So, f(x) will become f(x)+4

$f(x)+4 = x^{3} +4$

So, the required function is $f(x)=x^{3} +4$

Therefore, the required function when the parent function is stretched comes to be $f(x)=x^{3} +4$.

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