SOLUTION: Find the ellipse equation with ends of minor axis at (-1,2) and (-1,-4) and focus at (1,-1)

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Question 868193: Find the ellipse equation with ends of minor axis at (-1,2) and (-1,-4) and focus at (1,-1)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the ellipse equation with ends of minor axis at (-1,2) and (-1,-4) and focus at (1,-1)
Given data shows ellipse has a horizontal major axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1,a>b, (h,k)=cooordinates of center
y-coordinate of center=-1 (midpoInt of 2 and -4 on the minor axis)
x-coordinate of center=-1
center: (-1,-1)
c=2
c^2=4
b=3
b^2=9
c^2=a^2-b^2
a^2=c^2+b^2=4+9=13
Equation of given ellipse:%28x%2B1%29%5E2%2F13%2B%28y%2B1%29%5E2%2F9=1