Stage 23 · Quadratic Functions

23.4.4 Know Two Crossings? Use Factored Form

23.4 Three Forms and How to Find Them

Point 4 of 5

23.4.4 Know Two Crossings? Use Factored Form

Core idea

If you know the two spots x₁ and x₂ where the curve meets the x-axis, write y=a(x−x₁)(x−x₂) and then pin down a.

Module goal. Master the general, vertex, and factored forms, and find the equation from given conditions by solving for the unknown coefficients.
eastmath.com · 23.4 Three Forms and How to Find Them · 23.4.4 Know Two Crossings? Use Factored Form