Answer
See below
Work Step by Step
The equation in standard form: $x^2=-6y$
Identify the focus, directrix, and axis of symmetry. The equation has the form $x^2=4py$ where $p=-\frac{3}{2} $. The focus is $(0,-\frac{3}{2})$. The directrix is $x =-p=\frac{3}{2}$. Because $y$ is squared, the axis of symmetry is the x-axis.
Find some values and plot points:
$x=-1 \rightarrow y=\pm 2.45\\x=-2 \rightarrow y=\pm 3.46\\x=-3 \rightarrow y=\pm 4.24\\x=-4 \rightarrow y=\pm 4.89\\x=-5 \rightarrow y=\pm 5.477$
