College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 7 - Section 7.4 - The Hyperbola - 7.4 Assess Your Understanding - Page 537: 16



Work Step by Step

The equation of the hyperbola has the form $\pm(\frac{(y-h)^2}{a^2}-\frac{(x-k)^2}{b^2})=1$, the center is at $(h,k)$. As we can see, the transverse axis is the y-axis, thus in the above equation we have a positive sign at the front, thus it can only be c) or d). We can see that $(0,2)$ is on the graph, which must satisfy the parabola's equation, and since it satisfies only c), this is our answer.
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