SOLUTION: find the equation of the graph of all points such that the difference of their distances from (4,0) and (-4,0) is always equal to 2.

SOLUTION: find the equation of the graph of all points such that the difference of their distances from (4,0) and (-4,0) is always equal to 2.

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Question 1030970: find the equation of the graph of all points such that the difference of their distances from (4,0) and (-4,0) is always equal to 2.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let (x,y) be a point on the curve.
Then
==>
==> , after squaring both sides...
==> , after reducing further..
==> after squaring both sides.
==>
==> , which is a hyperbola center at (0,0) and x-axis as transverse axis.
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