Question

a) the function $f(x) = sqrt3{x}$, which has been stretched vertically by a factor of 5 and shifted to the left 2.

Explanation:

Step1: Apply vertical stretch

Multiply function by 5: $f(x) = 5\sqrt[3]{x}$

Step2: Apply left shift by 2

Replace $x$ with $x+2$: $f(x) = 5\sqrt[3]{x+2}$

Answer:

$f(x) = 5\sqrt[3]{x+2}$