Question

Which could be the function graphed below?

Answer 1

The parent equation of the given graph is $y=\sqrt[n]{x}$

where, n is any even number.

When this function is vertically shifted ( vertical dilation) down in the y- axis,

we get a graph similar to the one given in the question.

For example: $y=\sqrt[2]{x}-2$

The graph of the above function is attached below.

Answer 2

Try this way:
$f(x)= \sqrt[n]{x} -a,$
where n - even number, a - const.
P.S. one example is in the attachment.