SOLUTION: What are the foci of the ellipse? Graph the ellipse x^2/49 + y^2/64 =1

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Question 726051: What are the foci of the ellipse? Graph the ellipse
x^2/49 + y^2/64 =1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What are the foci of the ellipse? Graph the ellipse
x^2/49 + y^2/64 =1
This is an equation of an ellipse with vertical major axis.
Its standard form: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (0,0)
a^2=64
b^2=49
c^2=a^2-b^2=64-49=15
c=√15≈3.9
foci: (0±c,0)=(0±3.9,0)=(-3.9,0) and (3.9,0)
see graph below:
y=±(64-64x^2/49)^.5