Question

multiple choice 1 point based on the parent cube root function, $f(x)=sqrt3{x}$, write an equation based on the following transformations: vertical stretch by 4 shifts left 6 units shifts down 1 unit $y = 4sqrt3{x + 6}-1$ $y=-4sqrt3{x - 6}+1$ $y = 4sqrt3{x - 6}+1$ $y=\frac{1}{3}sqrt3{x + 6}-1$

Explanation:

Step1: Apply vertical stretch by 4

Multiply the parent function by 4: $4\sqrt[3]{x}$

Step2: Apply left shift by 6 units

Replace $x$ with $x+6$: $4\sqrt[3]{x+6}$

Step3: Apply down shift by 1 unit

Subtract 1 from the function: $4\sqrt[3]{x+6}-1$

Answer:

$y = 4\sqrt[3]{x+6}-1$ (first option)