Explanation Given: The equation of the ellipse: ( x + 2 ) 2 49 + y 2 25 = 1 Graph: Consider the equation of the ellipse, ( x + 2 ) 2 49 + y 2 25 = 1 Compare the above equation with the standard form of the equation of the ellipse with ( h , k ) as its center and the length of its axis are 2 a and 2 b that is, ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 Form this, h = − 2 , k = 0 , a = ± 7 and b = ± 5 Therefore, the ellipse ( x + 2 ) 2 49 + y 2 25 = 1 is centered at ( − 2 , 0 ) . Now, to plot the vertices of the ellipse on the axis parallel to x -axis, begin at ( − 2 , 0 ) and plot 7 units to its left and 7 units to its right

8th Edition

ISBN: 9780135909942

Author: TOBEY/SLATER

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 9.3, Problem 24E

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To graph: The ellipse (x+2)249+y225=1 and label the center.

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Chapter 9.3, Problem 23E

Chapter 9.3, Problem 25E

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Chapter 9 Solutions

INTERMEDIATE ALGEBRA - 18 WEEK MML CODE

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If there is no real...Ch. 9 - Prob. 25RP Ch. 9 - Prob. 26RP Ch. 9 - Prob. 27RP Ch. 9 - Prob. 1T Ch. 9 - Prob. 2T Ch. 9 - Rewrite the equation in standard form. Identify...Ch. 9 - Prob. 4T Ch. 9 - Prob. 5T Ch. 9 - Prob. 6T Ch. 9 - Prob. 7T Ch. 9 - Prob. 8T Ch. 9 - Prob. 9T Ch. 9 - Prob. 10T Ch. 9 - Prob. 11T Ch. 9 - Prob. 12T Ch. 9 - Prob. 13T Ch. 9 - Prob. 14T Ch. 9 - Prob. 15T Ch. 9 - Prob. 16T

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To graph: The ellipse ( x + 2 ) 2 49 + y 2 25 = 1 and label the center.

Solution Summary: The author compares the equation of the ellipse with the standard form of its equation with (h,k) as its center.

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To graph: The ellipse (x+2)249+y225=1 and label the center.

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Chapter 9 Solutions