Chapter 9 Quadratic Relations and Conic Sections - 9.6 Translate and Classify Conic Sections - 9.6 Exercises - Skill Practice - Page 655: 20

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The standard form for the parabola is $\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1$ We find $h=4\\k=7$ Distance from the center to a vertex: $a=3$ Distance from the center to a focus is: $c=5$ Find $c^2=a^2-b^2\\b^2=5^2-3^2\\b^2=16\\b=4$ We have an equation: $\frac{(x-4)^2}{9}-\frac{(y-7)^2}{16}=1$