Question

Which equation represents f(x)?

Answer 1

Function transformation involves changing the form of a function

The equation that represents the function f(x) is $f(x) = \sqrt[3] {x + 6} + 1$

How to determine the equation

The parent cube root function is:

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

When the function is translated 6 units left, the equation of the function becomes

$y = \sqrt[3] {x + 6}$

Next, the function is translated 1 unit up.

So, the equation of the function becomes

$y = \sqrt[3] {x + 6} + 1$

Express as a function

$f(x) = \sqrt[3] {x + 6} + 1$

Hence, the equation that represents the function f(x) is $f(x) = \sqrt[3] {x + 6} + 1$

Read more about function transformation at:

brainly.com/question/1548871