Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 9.7, Problem 62SR
To determine

To find: The coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the given equation and then graph the hyperbola.

Expert Solution & Answer
Check Mark

Answer to Problem 62SR

The coordinates of the vertices are (0,4)and(0,4) , the coordinates of the foci is (0,±41) , the equation of asymptote is y=±45x , and the graph of the hyperbola is shown in figure (1).

Explanation of Solution

Given:

The equation of the hyperbola is y216x225=1 .

Calculation:

The given hyperbola is a vertical hyperbola.

Compare the given equation with general equation (yk)2a2(xh)2b2=1 to get (h,k)=(0,0) .

  a2=16a=4b2=25=5

Use the relation between a , b and c to compute the value of c as follows.

  c2=a2+b2=16+25=41c=41

Find the coordinates of the vertices of the hyperbola as follows.

  (h,k±a)=(0,0±4)=(0,±4)=(0,4)and(0,4)

Find the coordinates of the foci of the hyperbola as follows.

  (h,k±c)=(0,0±41)=(0,±41)

Find the equation of asymptotes as follows.

  yk=±ab(xh)y0=±45(x0)y=±45x

The graph of the given parabola is as follows.

  Glencoe Algebra 2 Student Edition C2014, Chapter 9.7, Problem 62SR

Figure (1)

Therefore, the coordinates of the vertices are (0,4)and(0,4) , the coordinates of the foci is (0,±41) , the equation of asymptote is y=±45x , and the graph of the hyperbola is shown in figure (1).

Chapter 9 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10PPSCh. 9.1 - Prob. 11PPSCh. 9.1 - Prob. 12PPSCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42HPCh. 9.1 - Prob. 43HPCh. 9.1 - Prob. 44HPCh. 9.1 - Prob. 45HPCh. 9.1 - Prob. 46HPCh. 9.1 - Prob. 47STPCh. 9.1 - Prob. 48STPCh. 9.1 - Prob. 49STPCh. 9.1 - Prob. 50STPCh. 9.1 - Prob. 51SRCh. 9.1 - Prob. 52SRCh. 9.1 - Prob. 53SRCh. 9.1 - Prob. 54SRCh. 9.1 - 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Prob. 62HPCh. 9.3 - Prob. 63HPCh. 9.3 - Prob. 64HPCh. 9.3 - Prob. 65HPCh. 9.3 - Prob. 66HPCh. 9.3 - Prob. 67HPCh. 9.3 - Prob. 68STPCh. 9.3 - Prob. 69STPCh. 9.3 - Prob. 70STPCh. 9.3 - Prob. 71STPCh. 9.3 - Prob. 72SRCh. 9.3 - Prob. 73SRCh. 9.3 - Prob. 74SRCh. 9.3 - Prob. 75SRCh. 9.3 - Prob. 76SRCh. 9.3 - Prob. 77SRCh. 9.3 - Prob. 78SRCh. 9.3 - Prob. 79SRCh. 9.3 - Prob. 80SRCh. 9.3 - Prob. 81SRCh. 9.3 - Prob. 82SRCh. 9.3 - Prob. 83SRCh. 9.3 - Prob. 84SRCh. 9.3 - Prob. 85SRCh. 9.3 - Prob. 86SCh. 9.3 - Prob. 87SCh. 9.3 - Prob. 88SCh. 9.4 - Prob. 1GPCh. 9.4 - Prob. 2GPCh. 9.4 - Prob. 3GPCh. 9.4 - Prob. 4GPCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7CYUCh. 9.4 - Prob. 8CYUCh. 9.4 - Prob. 9CYUCh. 9.4 - Prob. 10CYUCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40HPCh. 9.4 - Prob. 41HPCh. 9.4 - Prob. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47STPCh. 9.4 - Prob. 48STPCh. 9.4 - Prob. 49STPCh. 9.4 - Prob. 50STPCh. 9.4 - Prob. 51SRCh. 9.4 - Prob. 52SRCh. 9.4 - Prob. 53SRCh. 9.4 - Prob. 54SRCh. 9.4 - Prob. 55SRCh. 9.4 - Prob. 56SRCh. 9.4 - Prob. 57SRCh. 9.4 - Prob. 58SRCh. 9.4 - Prob. 59SRCh. 9.4 - Prob. 60SRCh. 9.4 - Prob. 61SRCh. 9.4 - Prob. 62SRCh. 9.4 - Prob. 63SRCh. 9.4 - Prob. 64SRCh. 9.4 - Prob. 65SCh. 9.4 - Prob. 66SCh. 9.4 - Prob. 67SCh. 9.4 - Prob. 1MCQCh. 9.4 - Prob. 2MCQCh. 9.4 - Prob. 3MCQCh. 9.4 - Prob. 4MCQCh. 9.4 - Prob. 5MCQCh. 9.4 - Prob. 6MCQCh. 9.4 - Prob. 7MCQCh. 9.4 - Prob. 8MCQCh. 9.4 - Prob. 9MCQCh. 9.4 - Prob. 10MCQCh. 9.4 - Prob. 11MCQCh. 9.4 - Prob. 12MCQCh. 9.4 - Prob. 13MCQCh. 9.4 - Prob. 14MCQCh. 9.4 - Prob. 15MCQCh. 9.4 - Prob. 16MCQCh. 9.4 - Prob. 17MCQCh. 9.4 - Prob. 18MCQCh. 9.4 - Prob. 19MCQCh. 9.4 - Prob. 20MCQCh. 9.5 - Prob. 1GPCh. 9.5 - Prob. 2GPCh. 9.5 - Prob. 3GPCh. 9.5 - Prob. 4GPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44HPCh. 9.5 - Prob. 45HPCh. 9.5 - Prob. 46HPCh. 9.5 - Prob. 47HPCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50STPCh. 9.5 - Prob. 51STPCh. 9.5 - Prob. 52STPCh. 9.5 - Prob. 53STPCh. 9.5 - Prob. 54SRCh. 9.5 - Prob. 55SRCh. 9.5 - Prob. 56SRCh. 9.5 - Prob. 57SRCh. 9.5 - Prob. 58SRCh. 9.5 - Prob. 59SRCh. 9.5 - Prob. 60SRCh. 9.5 - Prob. 61SRCh. 9.5 - Prob. 62SRCh. 9.5 - Prob. 63SRCh. 9.5 - Prob. 64SRCh. 9.5 - Prob. 65SRCh. 9.5 - Prob. 66SCh. 9.5 - Prob. 67SCh. 9.6 - Prob. 1GPCh. 9.6 - Prob. 2AGPCh. 9.6 - Prob. 2BGPCh. 9.6 - Prob. 2CGPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37PPSCh. 9.6 - Prob. 38PPSCh. 9.6 - Prob. 39PPSCh. 9.6 - Prob. 40PPSCh. 9.6 - Prob. 41PPSCh. 9.6 - Prob. 42PPSCh. 9.6 - Prob. 43PPSCh. 9.6 - Prob. 44HPCh. 9.6 - Prob. 45HPCh. 9.6 - Prob. 46HPCh. 9.6 - Prob. 47HPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50STPCh. 9.6 - Prob. 51STPCh. 9.6 - Prob. 52SRCh. 9.6 - Prob. 53SRCh. 9.6 - Prob. 54SRCh. 9.6 - Prob. 55SRCh. 9.6 - Prob. 56SRCh. 9.6 - Prob. 57SRCh. 9.6 - Prob. 58SRCh. 9.6 - Prob. 59SRCh. 9.6 - Prob. 60SCh. 9.6 - Prob. 61SCh. 9.6 - Prob. 62SCh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.7 - Prob. 1AGPCh. 9.7 - Prob. 1BGPCh. 9.7 - Prob. 2AGPCh. 9.7 - Prob. 2BGPCh. 9.7 - Prob. 3AGPCh. 9.7 - Prob. 3BGPCh. 9.7 - Prob. 4AGPCh. 9.7 - Prob. 4BGPCh. 9.7 - Prob. 1CYUCh. 9.7 - Prob. 2CYUCh. 9.7 - Prob. 3CYUCh. 9.7 - Prob. 4CYUCh. 9.7 - Prob. 5CYUCh. 9.7 - Prob. 6CYUCh. 9.7 - Prob. 7CYUCh. 9.7 - Prob. 8CYUCh. 9.7 - Prob. 9CYUCh. 9.7 - Prob. 10CYUCh. 9.7 - Prob. 11CYUCh. 9.7 - Prob. 12CYUCh. 9.7 - Prob. 13CYUCh. 9.7 - Prob. 14PPSCh. 9.7 - Prob. 15PPSCh. 9.7 - Prob. 16PPSCh. 9.7 - Prob. 17PPSCh. 9.7 - Prob. 18PPSCh. 9.7 - Prob. 19PPSCh. 9.7 - Prob. 20PPSCh. 9.7 - Prob. 21PPSCh. 9.7 - Prob. 22PPSCh. 9.7 - Prob. 23PPSCh. 9.7 - Prob. 24PPSCh. 9.7 - Prob. 25PPSCh. 9.7 - Prob. 26PPSCh. 9.7 - Prob. 27PPSCh. 9.7 - Prob. 28PPSCh. 9.7 - Prob. 29PPSCh. 9.7 - Prob. 30PPSCh. 9.7 - Prob. 31PPSCh. 9.7 - Prob. 32PPSCh. 9.7 - Prob. 33PPSCh. 9.7 - Prob. 34PPSCh. 9.7 - Prob. 35PPSCh. 9.7 - Prob. 36PPSCh. 9.7 - Prob. 37PPSCh. 9.7 - Prob. 38PPSCh. 9.7 - Prob. 39PPSCh. 9.7 - Prob. 40PPSCh. 9.7 - Prob. 41PPSCh. 9.7 - Prob. 42PPSCh. 9.7 - Prob. 43PPSCh. 9.7 - Prob. 44PPSCh. 9.7 - Prob. 45PPSCh. 9.7 - Prob. 46PPSCh. 9.7 - Prob. 47PPSCh. 9.7 - Prob. 48PPSCh. 9.7 - Prob. 49PPSCh. 9.7 - Prob. 50PPSCh. 9.7 - Prob. 51HPCh. 9.7 - Prob. 52HPCh. 9.7 - Prob. 53HPCh. 9.7 - Prob. 54HPCh. 9.7 - Prob. 55STPCh. 9.7 - Prob. 56STPCh. 9.7 - Prob. 57STPCh. 9.7 - Prob. 58STPCh. 9.7 - Prob. 59SRCh. 9.7 - Prob. 60SRCh. 9.7 - Prob. 61SRCh. 9.7 - Prob. 62SRCh. 9.7 - Prob. 63SRCh. 9.7 - Prob. 64SRCh. 9.7 - Prob. 65SRCh. 9.7 - Prob. 66SRCh. 9.7 - Prob. 67SRCh. 9.7 - Prob. 68SRCh. 9.7 - Prob. 69SRCh. 9.7 - Prob. 70SRCh. 9.7 - Prob. 71SCh. 9.7 - Prob. 72SCh. 9.7 - Prob. 73SCh. 9.7 - Prob. 74SCh. 9 - Prob. 1QCCh. 9 - Prob. 2QCCh. 9 - Prob. 3QCCh. 9 - Prob. 4QCCh. 9 - 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