Thread: Parabola

Find an equation that says that

P = (x, y) is equidistant from F = (2, 0) and the y-axis.

An equation or find the point P?

If the later what about (1,0)?

I need to find an equation, not just 1 point. I know that (1,0), (2,2), and (2,-2) are all equidistant from F = (2, 0) and the y-axis

Since you title this "parabola", I suspect you already know the answer. However, the derivation is this:

The distance from (x, y) to (2, 0) is and the distance from the (x, y) to the y-axis is simply x. To be equidistant, we must have

Square both sides and simplify.