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Consider the hyperbola with equation$$\frac{y^{2}}{a^{2}}-\frac{x^{2}}{b^{2}}=1$$(A) Show that $y=\pm \frac{a}{b} x \sqrt{1+\frac{b}{x^{2}}}$(B) Explain why the hyperbola approaches the lines $y=\pm \frac{a}{b} x$ as $|x|$ becomes larger.(C) Does the hyperbola approach its asymptotes from above or below? Explain.

Precalculus

Algebra

Chapter 11

Additional Topics in Analytic Geometry

Section 3

Hyperbola

Introduction to Conic Sections

Quadratic Functions

Systems of Equations and Inequalities

Missouri State University

Harvey Mudd College

Baylor University

Lectures

01:32

In mathematics, the absolu…

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Consider the hyperbola wit…

01:47

a. Prove that the hyperbol…

02:07

The asymptotes of $\left(x…

07:14

Show that the lines $ y = …

02:18

REVIEW The graph of $\left…

01:53

SynthesisShow that a h…

Given the hyperbola $\frac…

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If, in$$\frac{x^{2}}{a…

00:56

If, in$$\frac{x^{2…

03:25

Graphing Shifted Hyperbola…

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