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: 9780134188515

Author: Crawford

Publisher: YUZU

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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

To determine

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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EBK INTERMEDIATE ALGEBRA

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