Question

How to decide if a point is on a parabola

Answer 1

All you need is the coordinates of your point (x,y) as well as the function of your parabola (y=x^2 for example).

Then, replace the x and y from the function by the coordinates of your point.

If you end up with the same number on both sides of the equation, then the point is on your curve. If not, it isn't on your curve.

For example, we want to know if K(3,8) is on the parabola y=x^2–1.

8=3^2–1

8=8

So the point K is on the parabola.