Find the equation of the ellipse that has endpoints of the major axis at (-2, 4) and (6, 4) and has endpoints of a minor axis at (2, 2) and (2, 6).

1 answer
Question:

Find the equation of the ellipse that has endpoints of the major axis at (-2, 4) and (6, 4) and has endpoints of a minor axis at (2, 2) and (2, 6).

Answers

Step-by-step explanation:Use the standard form (x−h)2a2+(y−k)2b2=1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . If the x-coordinates of the given vertices and foci are the same, then the major axis is parallel to the y-axis. Use the standard form (x−h)2b2+(y−k)2a2=1 ( x − h ) 2 b 2 + ( y − k ) 2 a 2 = 1 .

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