We have proved that the set of all points (x, y) that are equidistant from the point (f, k) and the line x.
What is a parabola?
A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.
That’s a parabola in the usual orientation. y=1 is the directrix. (f, k) is the focus. Squared distance, as usual, is the fundamental quantity.
If (x,y) is a point in the set, the squared distance to y=1 is (y−1)². The squared distance to (f, k).
(y - 1)²=(x - f)²+(y - k)²
Hence, we can say that the set of all points (x, y) is equidistant from the point (f, k) and the line x.
To learn more about parabolas, visit:
https://brainly.com/question/4061870
#SPJ4
