Question 675936: What is the Standard equation of the ellipse with the characteristics Center (4,4), vertical minor axis with length of 16 units, and c=6.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the Standard equation of the ellipse with the characteristics Center (4,4), vertical minor axis with length of 16 units, and c=6.
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This is an ellipse with horizontal major axis since given minor axis is vertical.
Its standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
center: (4,4)
given length of minor vertical axis=16=2b
b=8
b^2=64
given c of foci=6
c^2=36
c^2=a^2-b^2
a^2=c^2+b^2=36+64=100
Equation of given ellipse:
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