Question

-8ty642-2f(x)=√x48برWhich equation is graphed along with the parentfunction?O g(x)=√√x+3 +4g(x)=√x-3+4O g(x)=√x-4+3Og(x)=√x+4+3

Answer 1

Answer: Option 2

`g(x)=\sqrt[3]{x-3}+4`

Explanation:

From the graph, in order to obtain the function g(x), the parent function f(x) has been:

• Translated by 4 units in the upward direction; and

,

• Translated 3 units to the right.

The parent function, f(x) is:

`f(x)=\sqrt[3]{x}`

A translation by 4 units up gives::

`\sqrt[3]{x}+4`

A further translation by 3 units to the right gives:

`g(x)=\sqrt[3]{x-3}+4`

The second option is correct.