Question

rewrite the following radical function to identify its transformations from the parent graph.\\( f(x) = sqrt3{27x - 27} \\)\\( \\)\\( \\)rewrite the function so that its transformations can be identified.\\( f(x) = square \\)

Explanation:

Step1: Factor out 27 from radicand

$f(x) = \sqrt[3]{27(x - 1)}$

Step2: Separate the perfect cube factor

$f(x) = \sqrt[3]{27} \cdot \sqrt[3]{x - 1}$

Step3: Simplify the cube root of 27

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

Answer:

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