ANSWER
It is horizontally compressed by a factor of 2 and reflected over the y-axis.
Step-by-step explanation
The parent function given to us is
![y = √(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yu61j7oj9dtmcrlky8z0r38hzq7lmb4y1h.png)
The parent function has been transformed to obtain
![y = √( - 2x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/wa2yenuggsw2leii5y82jk5ewj2soctypt.png)
This transformation is of the form:
![y = √(kx)](https://img.qammunity.org/2020/formulas/mathematics/high-school/zq3xnyg1mgpq1y4v8ihu917dv779toga5i.png)
If
![|k| > 1](https://img.qammunity.org/2020/formulas/mathematics/high-school/2giq0xd3fy8bo6061tnveysmwczeon4ers.png)
then,there is a horizontal compression by a factor of k.
Hence
![y = √( - 2x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/wa2yenuggsw2leii5y82jk5ewj2soctypt.png)
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.