Question

Please help, I'm stuck​

Answer 1

Answer: Option B

`k> 0`

Explanation:

The graph shows a radical function of the form
`f(x)=a(x+k)^{(1)/(n)}+c`

Where n is a even number.

This type of function has its vertex at the origin when
`k = 0` and
`c = 0`

If
`k> 0` the graph moves horizontally k units to the left

If
`k <0` the graph moves horizontally k units to the right.

Note that in this case the vertex of the function is horizontally shifted 5 units to the left. Therefore we know that
`k = 5> 0`

The correct answer is option B