Question

Which function represents the following graph?

Answer 1

The last one, y= cubed root x+3 +3

Answer 2

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

Explanation:

1)This function is a Geometric Transformation, (translation) of its parent function, namely:

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

2) When we add 3 units into the radical we shift it to the left. And the graph crosses the x-axis in the point -3, Then:

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

3)We add 3 outside the radical, we shift up the curve:

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