Question

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Option D is graph .

Graph of all 4 functions attached

• Black one is the 4th one

Answer 2

`y=\sqrt[3]{x+3}+3`

Explanation:

From inspection, we can see that the base graph is
`y=\sqrt[3]{x}`

(As the graph of
`y=√(x)` is only valid for x ≥ 0 ⇒ y ≥ 0)

The center of
`y=\sqrt[3]{x}` goes through the origin (0, 0)

From inspection, we can see that the center of the curve is now at (-3, 3)

So the graphed function has been shifted 3 units left:

`\implies y=\sqrt[3]{x+3}`

and shifted 3 units up:

`\implies y=\sqrt[3]{x+3}+3`