Asked 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
),the absolute value of the difference of the distances of any point from the foci is 24
Answers
Answered by
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
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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