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ANSWER

It is horizontally compressed by a factor of 2 and reflected over the y-axis.

EXPLANATION

The parent function given to us is

[tex]y = \sqrt{x} [/tex]

The parent function has been transformed to obtain

[tex]y = \sqrt{ - 2x} [/tex]

This transformation is of the form:

[tex]y = \sqrt{kx} [/tex]

If

[tex] |k| > 1[/tex]

then,there is a horizontal compression by a factor of k.

Hence

[tex]y = \sqrt{ - 2x} [/tex]

is horizontally compressed by a factor of 2.

Since -2<0, it is a reflection in the y-axis.

The correct choice is the last option.
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