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Finding the equation of an ellipse 
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Finding the equation of an ellipse
by dorislouise on Wed Dec 09, 2009 4:07 pm
Find the equation of an ellipse given vertices (0, 4) and (0, -4) and which passes through the point (-1,3)
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by stapel_eliz on Wed Dec 09, 2009 8:00 pm
You are given the vertices of the ellipse, which are eight units apart on the y-axis, and centered on the origin. So you know that, in the ellipse equation:
. . . . .^2}{a^2}\, +\, \frac{(x\, -\, h)^2}{b^2}\, =\, 1)
...the value of "a" is 4, and (h, k) = (0, 0). You are given a point on the ellipse. Plug the x- and y-values from this point into the equation, along with the other known values, and solve for the one remaining value.
. . . . .
...the value of "a" is 4, and (h, k) = (0, 0). You are given a point on the ellipse. Plug the x- and y-values from this point into the equation, along with the other known values, and solve for the one remaining value.
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