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Graph each hyperbola. See Examples I and 2.$$\frac{y^{2}}{9}-\frac{x^{2}}{4}=1$$
Precalculus
Algebra
Chapter 13
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 3
The Hyperbola and Functions Defined by Radicals
Introduction to Conic Sections
An Introduction to Geometry
Functions
Systems of Equations and Inequalities
Campbell University
McMaster University
University of Michigan - Ann Arbor
Idaho State University
Lectures
01:32
In mathematics, the absolu…
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Graph each hyperbola. See …
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in this problem, we're being asked to graft. Why squared over nine minus X squared over four is equal to one. Since nothing is being added or subtracted to the numerator, I know that my center is at 00 It's a hyperbole because it's subtraction, and I know it will open up and down because the wife fraction is positive. I can find my Vergis e by going up three units and down three units, which is the square root of the denominator. So one vertex is here. One Vertex is there in order. Know how wide my hyperbole will be going to create my rectangle. In this case, I'm going to go two units to the right and two units to the left in order to create the side of my rectangle using my Vergis ease distance to create the rest of it. As I started the center and passed through each vertex of the rectangle, I will know where my ass attitudes will lie. In this case, they passed through the Vertex in snuggle to the Assam toads. And that's what my hyperbole
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