Question

if the parent function is ^3sqrt(x), describe the translation of the function y=^3(x+4)-3

Answer 1

Given:

The parent function is

$y=\sqrt[3]{x}$

The translation function is

$y=\sqrt[3]{x+4}-3$

Required:

We need to find the translation.

Explanation:

Let f(x) be the parent function.

The translation function of the form f(x+h)+k.

The value of 'h' controls how much the graph shifts to the left or right

Comparing f(x+h)+k, we get h =4 anf k=-3.

The value of h is positive so the graph shift left by 4 units.

The value for 'k' controls how much the graph shifts up or down

The value of k is negative so the graph shifts down by 3 units.

Final answer:

Four units left and 3 units down.