SOLUTION: Find the center, vertices, and foci of the ellipse with equation x squared divided by 144 plus y squared divided by 225 = 1. (5 points) Center: (0, 0); Vertices: (0, -15), (0,

Question 1138080: Find the center, vertices, and foci of the ellipse with equation x squared divided by 144 plus y squared divided by 225 = 1. (5 points)

Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (-12, 0), (12, 0)

Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (0, -9), (0, 9)

Center: (0, 0); Vertices: (-15, 0), (15, 0); Foci: (0, -12), (0, 12) )

Center: (0, 0); Vertices: (-15, 0), (15, 0); Foci: (-9, 0), (9, 0)

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Find the center, vertices, and foci of the ellipse with equation

compare to standard formula:
so, your ellipse is centered at origin; ,
also,
=>
=>
= distance to focus
For an ellipse with major axis parallel to the y-axis, the Foci (focus points ) are defined as :
(, ), (, ), where is the distance from the center : (, ) to a focus

so, a focus will be at
(, ), (, )
(, ), (, )
the vertices are at (, ), (, )
we have
the vertices are at (, ), (, )

answer: Center: (, ); Vertices: (, ), (, ); Foci: (,), (, )

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