Chapter 9 Quadratic Relations and Conic Sections - 9.6 Translate and Classify Conic Sections - 9.6 Exercises - Skill Practice - Page 655: 18

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The standard form for the parabola is $\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$ We find $h=-2\\k=5$ Distance from the center to a vertex: $a=9-k=9-5=4$ Distance from the center to a co-vertex is: $b=0-h=0-(-2)=2$ Find $c^2=a^2-b^2\\c^2=4^2-2^2\\c^2=12$ We have an equation: $\frac{(x+2)^2}{4}+\frac{(y-5)^2}{16}=1$