Activity 5: Identify the center, vertices, foci, and asymptotes of the following equations of the hyperbolas. (x-4)² (y+3)2 1. 16 :1 0-0) bns (A0 25

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Activity 5: Identify the center, vertices, foci, and asymptotes of the following
equations of the hyperbolas.
(x-4)2 (y+3)-
)bns (A t
1.
1
16
25
2. y? -x2 - 4x -4y-4=0
3. 4x2 - y2 + 16x + 6y - 9=0
4. 16x2 - y2 - 32x
5. 12y2 - 4x2 + 16x + 72y + 44 = 0
6y-57 = 0
-
creas
Activity 6: Find the equation of the hyperbola with the following information.
1. Center at (1,2), vertices at (1,3) and (1,1), and foci at (1,4) and (1,0)
2. Center (0,0), vertices (+2,0), and length of the transverse axis is 4 units
3. Foci (9,2) and (-1,2), and length of the transverse axis is 8 units
hof the
Transcribed Image Text:Activity 5: Identify the center, vertices, foci, and asymptotes of the following equations of the hyperbolas. (x-4)2 (y+3)- )bns (A t 1. 1 16 25 2. y? -x2 - 4x -4y-4=0 3. 4x2 - y2 + 16x + 6y - 9=0 4. 16x2 - y2 - 32x 5. 12y2 - 4x2 + 16x + 72y + 44 = 0 6y-57 = 0 - creas Activity 6: Find the equation of the hyperbola with the following information. 1. Center at (1,2), vertices at (1,3) and (1,1), and foci at (1,4) and (1,0) 2. Center (0,0), vertices (+2,0), and length of the transverse axis is 4 units 3. Foci (9,2) and (-1,2), and length of the transverse axis is 8 units hof the
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