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Question 539356: directions: write an equation for the ellipse with each set of characteristics
Problem: vertices (4,3) (4,-9); length of minor axis-8
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! directions: write an equation for the ellipse with each set of characteristics
Problem: vertices (4,3) (4,-9); length of minor axis-8
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Given data shows ellipse has a vertical major axis with equation of standard form:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, with (h,k) being the (x,y) coordinates of the center.
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solving for a, b, and coordinates of the center:
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x-coordinate of center=4
y-coordinate of center=(3-9)/2=-6/2=-3
center: (4,-3)
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length of major axis=3-(-9)=12=2a
a=6
a^2=36
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length of minor axis=8=2b
b=4
b^2=16
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Equation of given ellipse: (x-4)^2/16+(y+3)^2/36=1
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