Question

If f(x) = x³ and g(x) = (x + 4)³, which description represents the graph of function g?

A. A horizontal transformation of function f 4 units right
B. A vertical transformation of function f 4 units down
C. A vertical transformation of function f 4 units up
D. A horizontal transformation of function f 4 units left

Answer 1

I don’t know the answer to the question but I hope you find someone who can help you, the answer is D

Answer 2

The graph of function is  g  a horizontal transformation of function f 4 units left.

What is Graph transformation?

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

According to the question

f(x) = x³

g(x) = (x + 4)³

Now, Plotting the graph of  f(x) and g(x)

Points for  f(x) = x³  

x          f(x)

0           0

1             1

2            8

-1           -1

-2          -8

Points for g(x) = (x + 4)³

x              g(x)

-4               0

-3                1

-2                8

-1                27

0               64      

By observing the graph of both f(x)  and g(x) ,

The graph transformation of f(x)  to g(x) :

The graph of  f(x) is transformed  4 unit left horizontally

Hence, the graph of function is  g  a horizontal transformation of function f 4 units left

To know more about Graph transformation here:

https://brainly.com/question/10059147

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