Question

Describe how the cubic function f(x) = (x+4)^3- 7 has been transformed from its paernt function x^3

Answer 1

The parent function was shifted 4 unit left and 7 units down to get the given function

Step-by-step explanation:

Given function is:

f(x) = (x+4)^3- 7

and the parent function is

f(x) = x^3

We will take the parent function and transform it

so

If a function f(x) is converted inot f(x+a) where a is an ineteger, the function is shifted a units to the left

If we shift our parent function to 4 units left, then

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

now if any integer b is added to a function, it is shifted down

If we have to shift our function 7 units down, it will be:

$f(x) = (x+4)^3 - 7$

Hence

The parent function was shifted 4 unit left and 7 units down to get the given function

Keywords: Functions, Transformation

Learn more about functions at:

• brainly.com/question/12613605
• brainly.com/question/1251787

#LearnwithBrainly