Answer:
See attachment.
Explanation:
The given equation is
![{y}^(2) = - 4x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cvm9eiwdgaa85lxg47e24w62xrkjhifdt5.png)
We solve for x to obtain:
![x = - (1)/(4) {y}^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ygarmm9ceo9tqdrbdk2biema6q7eqwic7b.png)
This is a horizontal parabola that has its vertex at the origin.
The graph of this parabola opens in the direction of the negative x-axis because of the negative coefficient.
The focus is (-1,0) and the directrix is x=1
See diagram in the attachment.