## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 10 - Section 10.4 - The Parabola; Identifying Conic Sections - Exercise Set - Page 801: 99

#### Answer

See the explanation below.

#### Work Step by Step

Standard form of a hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$ Standard form of an ellipse is $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ When we compare the standard form for both hyperbola and ellipse we can only see the difference of the signs of the coefficients of the squared variable $x^2$ and $y^2$. For same signs it defines an ellipse and opposite signs define a hyperbola.

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