Question 741897: How do I write an equation for the ellipse with vertices, (-2,0) (-2,-6) (-4,-3) (0,-3)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! How do I write an equation for the ellipse with vertices, (-2,0) (-2,-6) (-4,-3) (0,-3)
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Given ellipse has a vertical major axis:
Its standard form:  , a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
y-coordinate of center=(0-6)/2=-3(midpoint)
x-coordinate of center=(-4+0)/2=-2(midpoint)
center: (-2,-3)
a=3 (distance from center to vertex on vertical major axis)
a^2=9
b=2 (distance from center to end points of minor axis)
b^2=4
Equation of given ellipse:
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