Question

How do you find the equation of a parabola given two x intercepts

Answer 1

Let's assume that the parabola has the following intersections with the x axis:
 x1 = p
 x2 = q
 To find the equation of the parabola, we write the following product of binomials:
 (x-p) (x-q) = 0
 Where,
 p, q: intersections with the x axis.
 When developing the product of binomials, we obtain the equation of the parabola.
 Answer:
 (x-p) (x-q) = 0