Question 693239: Write in standard form. It is a ellipse. The center is (0,0) and the foci is (+-3,0) and the major axis is 12. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Write in standard form. It is a ellipse. The center is (0,0) and the foci is (+-3,0) and the major axis is 12.
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This is an ellipse with horizontal major axis.
Its standard form of equation: , a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
Given center: (0,0)
length of horizontal major axis=12=2a
a=6
a^2=36
c=3 (distance from center to foci)
c^2=9
c^2=a^2-b^2
b^2=a^2-c^2=36-9=25
b=5
Equation of given ellipse:
(