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

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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) About Me  (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: x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1
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: x%5E2%2F16-y%5E2%2F9=1
see graph below as a visual check:
y=(9x^2/16-9)^.5