SOLUTION: write an equation is standard form for the ellipse with foci(7,0) and (_7,0) and y-intercepts of 2 and -2

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Question 430270: write an equation is standard form for the ellipse with foci(7,0) and (_7,0) and y-intercepts of 2 and -2
Answer by lwsshak3(11628) About Me  (Show Source):
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write an equation is standard form for the ellipse with foci(7,0) and (_7,0) and y-intercepts of 2 and -2
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Standard form of an ellipse with horizontal major axis, (this case): (x-h)^2/a^2+(y-k)^2/b^2=1
Given foci coordinates show the y-coordinate of the center=0
y-intercepts of 2 & -2 show that the x=coordinate of the center is also=0
so center of ellipse is at (0,0)
b=2
b^2=4
c=foci=7
c^2=a^2-b^2
a^2=c^2+b^2=49+4=53
a=sqrt(53)=7.28
Equation of ellipse:
x^2/53+y^2/4=1
Graph below can visually confirm the answers obtained.
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y=+-((1-x^2/53)4)^.5