Answer
See below
Work Step by Step
The equation in standard form: $5x^2+12y=0\\x^2=-\frac{12}{5}y$
Identify the focus, directrix, and axis of symmetry. The equation has the form $x^2=4py$ where $p=\frac{-3}{5}$. The focus is $(0,\frac{-3}{5})$. The directrix is $x =-p=\frac{3}{5}$. Because $x$ is squared, the axis of symmetry is the y-axis.
Find some values and plot points:
$x=-1 \rightarrow y=\pm 1.55\\x=-2 \rightarrow y=\pm 2.19\\x=-3 \rightarrow y=\pm 2.68\\x=-4 \rightarrow y=\pm 3.098\\x=-5 \rightarrow y=\pm 3.46$
