Chapter 9 Quadratic Relations and Conic Sections - 9.2 Graph and Write Equations of Parabolas - 9.2 Exercises - Skill Practice - Page 623: 14

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The equation in standard form: $-x^2=48y\\x^2=-48y$ Identify the focus, directrix, and axis of symmetry. The equation has the form $x^2=4py$ where $p=-12$. The focus is $(0,-12)$. The directrix is $x =-p=12$. Because $x$ is squared, the axis of symmetry is the y-axis. Find some values and plot points: $x=-1 \rightarrow y=\pm 6.93\\x=-2 \rightarrow y=\pm 9.8\\x=-3 \rightarrow y=\pm 12\\x=-4 \rightarrow y=\pm 13.86\\x=-5 \rightarrow y=\pm 15.49$