Chapter 9 Quadratic Relations and Conic Sections - 9.5 Graph and Write Equations of Hyperbolas - 9.5 Exercises - Quiz for Lessons 9.4-9.5 - Page 648: 11

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The foci and vertices lie on the y-axis equidistant from the origin, so the transverse axis is vertical and the center is the origin. The foci are $c=3$ and $a=1$. Find $b^2=c^2-a^2=3^2-1^2=8$ $b=\sqrt 8$ Because the transverse axis is vertical, the standard form of the equation is as follows: $$\frac{y^2}{1}-\frac{x^2}{8}=1$$