SOLUTION: A point moves so that the absolute value of the difference between it's distances from (0,5) and (0,-5) is 8.

Question 851093: A point moves so that the absolute value of the difference between it's distances from (0,5) and (0,-5) is 8.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A point moves so that the absolute value of the difference between it's distances from (0,5) and (0,-5) is 8.
Conic described is a hyperbola with a horizontal transverse axis, foci at (0,5) and (0,-5), 2a=8, and center at (0,0).
Its standard form of equation:
2a=8
a=4
a^2=16
c=5
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-16=9
equation:
see graph below as a visual check:
y=(9x^2/16-9)^.5

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