Chapter 9 Quadratic Relations and Conic Sections - 9.2 Graph and Write Equations of Parabolas - 9.2 Exercises - Skill Practice - Page 623: 13

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The equation in standard form: $4y^2=x\\y^2=\frac{1}{4}x$ Identify the focus, directrix, and axis of symmetry. The equation has the form $y^2=4px$ where $p=\frac{1}{16}$. The focus is $(\frac{1}{16},0)$. The directrix is $x =-p=-\frac{1}{16}$. Because $y$ is squared, the axis of symmetry is the x-axis. Find some values and plot points: $x=1 \rightarrow y=\pm 0.5\\x=2 \rightarrow y=\pm 0.71\\x=3 \rightarrow y=\pm 0.87\\x=4 \rightarrow y=\pm 1\\x=5 \rightarrow y=\pm 1.12$