Question

what is the equation of the graph that represents the parent function f(x^4) stretched vertically by a factor of 2, and then shifted up 3 spaces.

A) g(x)= 2x^4+3

B) g(x)= 2(x^4+3)

C) g(x)= 2(x+3)^4

D) g(x)= 2x^4-3

Answer 1

Answer:

A) g(x)= 2x^4+3

Step-by-step explanation:

A P E X 2021

Answer 2

The required transformed graph of parent graph f(x^4) is $2x^4+3$

The correct option is (A)

Transformation on Graph:

If we have a original graph of the function f (x) then

Vertical transformation by a unit = a f(x)

Horizontal compression by a unit = f(ax)

Vertical translation up a units = f(x) + a

How to find transformed graph?

Here we have given original function is f(x^4)

If the graph stretched vertically by 2 unit then transformed graph is

=2 $f(x^4)$

Also we have given the graph is shifted up 3 units

Therefore the graph will be = $2f(x^4)+3$

The correct option is (A)

This is the conclusion to the answer.

Learn about transformation of the graph here-

https://brainly.com/question/4289712

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