Question

Choose the correct graph of the function y=2^3sqrt x-3 +2

Answer 1

First graph

Step-by-step explanation:

To choose the correct graph, we need to identify a point in the graph.

So, replacing x = 11, we get

`\begin{gathered} y=2\sqrt[3]{x-3}+2 \\ y=2\sqrt[3]{11-3}+2 \\ y=2\sqrt[3]{8}+2 \\ y=2(2)+2 \\ y=4+2 \\ y=6 \end{gathered}`

Therefore, the graph passes through the point (11, 6).

The only graph that passes through (11, 6) is the first one, so the answer is the first graph.