Question

given the following description, write an equation that meets all the criteria.
write a cube root function that is decreasing, has a point of inflection at (13,-9) and has be vertically stretched by 2.
type the equation using sqrt() ; cbrt() ; ()^(3) or you can to go insert, equation and use the math editor.
examples:
$y = -\frac{1}{2}(x - 1)^3 + 3$ : y=-1/2(x-1)^(3)+3
$y = -\frac{1}{2}\sqrt3{x - 1} + 3$ : y=-1/2cbrt(x-1)+3

Explanation:

Step1: Recall base cube root form

The parent cube root function is $y=\sqrt[3]{x}$, which is increasing.

Step2: Apply vertical stretch & decrease

To make it decreasing and vertically stretched by 2, multiply by -2: $y=-2\sqrt[3]{x}$.

Step3: Shift to inflection point (13,-9)

Shift right 13: replace $x$ with $x-13$; shift down 9: subtract 9.
$y = -2\sqrt[3]{x - 13} - 9$

Answer:

$y = -2\sqrt[3]{x - 13} - 9$ (or y=-2*cbrt(x-13)-9)