1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the coordinates of the center and the other vertex of the hyperbola. b. Determine the equation of the hyperbola in standard form. c. Sketch the graph of the hyperbola (including the auxiliary rectangle and the asympto Label the center, foci, and vertices.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 1ECP: Find the standard form of the equation of the hyperbola with vertices 2,4 and 2,2 and foci 2,5 and...
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1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1).
a. Give the coordinates of the center and the other vertex of the hyperbola.
b. Determine the equation of the hyperbola in standard form.
c. Sketch the graph of the hyperbola (including the auxiliary rectangle and the asymptotes).
Label the center, foci, and vertices.
Transcribed Image Text:1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the coordinates of the center and the other vertex of the hyperbola. b. Determine the equation of the hyperbola in standard form. c. Sketch the graph of the hyperbola (including the auxiliary rectangle and the asymptotes). Label the center, foci, and vertices.
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