13. Given the following equation for a hyperbola: -9x² + 4y2 - 72x + 24y - 144 = 0. Show your work. a. Write the equation in standard form.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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13. Given the following equation for a hyperbola: -9x² + 4y² - 72x + 24y - 144 = 0. Show
your work.
a. Write the equation in standard form.
b. Graph the hyperbola, label the center, vertices and asymptotes on the graph.
10
8
6
4
2
-10 -8 -6 -4 -2
-2
4 16.0
-4
-6
-8
-10
2
6 8 10
4 6
Transcribed Image Text:13. Given the following equation for a hyperbola: -9x² + 4y² - 72x + 24y - 144 = 0. Show your work. a. Write the equation in standard form. b. Graph the hyperbola, label the center, vertices and asymptotes on the graph. 10 8 6 4 2 -10 -8 -6 -4 -2 -2 4 16.0 -4 -6 -8 -10 2 6 8 10 4 6
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