Question

Select the correct answer.Which equation represents the function modeled by the graph?

Answer 1

The parent function of the graph is a cube root function, given as

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

Upon further transformation, we have that

$f(x)=\sqrt[3]{4x}\Rightarrow horizontal\text{ shrink by 4}$

Also shifted horizontally to the left by 2 units

$f(x)=\sqrt[3]{4x+2}$

Hence, the equation that represents the function modeled by the graph is

$f(x)=\sqrt[3]{4x+2}$

The first option is the answer