Question

What is the equation of the graph that represents the parent function f(x) = x4stretched vertically by a factor of 2, and then shifted down 3 spaces.=A. g(x) = 2x4 + 3B. g(x) = 2x4-3c. g(x) = 2(4-3)D. g(x) = 2(x+3)4

Answer 1

SOLUTION:

Step 1 :

In this question, we are given the following:

Step 2:

From the question, we are asked to get the equation of the graph that represents the parent function:

$f(x)=x^4$

stretched vertically by a factor of 2, and then shifted down 3 spaces:

$g(x)\text{ = 2 ( }x+3)^4\text{ --- OPTION D}$

The graph of:

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

is as shown below: