precalculus
posted by Moana
how to find the equation of a parabola given foci(7,17), (7,17
),the absolute value of the difference of the distances of any point from the foci is 24

Steve
A parabola has only one focus. You mean a hyperbola.
Now, since the distances to the foci differ by 24, and the foci are 34 apart, you have a hyperbola with
a = 12
c = 17
b = √145
Since the center is at (7,0) and the foci are on the line x = 7, the hyperbola is
y^2/145  (x+7)^2/144 = 1
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