A standard parabola is the graph of a quadratic polynomial y=x2+ax+b with leading co\"efficient 1. Three standard parabolas with vertices V1,V2,V3 intersect pairwise at points A1,A2,A3. Let A↦s(A) be the reflection of the plane with respect to the x-axis.
Prove that standard parabolas with vertices s(A1),s(A2),s(A3) intersect pairwise at the points s(V1),s(V2),s(V3). conicsparabolaquadraticsalgebrapolynomialgeometrygeometric transformation