Question

I need help please

Answer 1

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

Explanation:

The parent cube root function is
`f(x)=\sqrt[3]{x}`.

It is symmetric about the origin (0, 0).

From inspection of the given graph, the graphed function is symmetric about point (-5, -2). Therefore, the parent function has been translated 5 units left and 2 units down.

When translating a function "a" units to the left, add "a" to the x-value.

When translating a function "a" units down, subtract "a" from the function.

Therefore, the equation of the graphed function is:

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