SOLUTION: find the equation of the set of all points.P(x,y) that is equidistant from y-axis and (4,0)

SOLUTION: find the equation of the set of all points.P(x,y) that is equidistant from y-axis and (4,0)

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Question 966935: find the equation of the set of all points.P(x,y) that is equidistant from y-axis and (4,0)

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Perpendicular distance from (x,y) to y-axis is,

Distance from (x,y) to (4,0) is,

Set them equal to each other.

The solution is a parabola with symmetric about the x-axis.
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.
.

.
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Let's choose a point to verify the solution.
Let , then
So and
The distance from (,) to (,,) is

which equals the distance from the y-axis so the solution checks out.
=(,) and (,)

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