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.
