Chapter 9 Quadratic Relations and Conic Sections - 9.2 Graph and Write Equations of Parabolas - 9.2 Exercises - Skill Practice - Page 623: 10

See below

The equation in standard form: $x^2=-36y$ Identify the focus, directrix, and axis of symmetry. The equation has the form $x^2=4py$ where $p=-9$. The focus is $(0,-9)$. The directrix is $x =-p=9$. Because $y$ is squared, the axis of symmetry is the x-axis. Find some values and plot points: $x=-1 \rightarrow y=\pm 6\\x=-2 \rightarrow y=\pm 8.49\\x=-3 \rightarrow y=\pm 10.39\\x=-4 \rightarrow y=\pm 12\\x=-5 \rightarrow y=\pm 13.42$