Unit 11

Quadratic Functions

Standard, vertex, and factored forms; graphs, roots, vertex, and axis of symmetry.

Algebra I Regents

Essential question: How do three equivalent forms of a quadratic highlight different features of the same parabola?

Standard form ax² + bx + c, vertex form a(x − h)² + k, and factored form a(x − r)(x − s) highlight different features of the same parabola.

AI-F.IF.7 · AI-F.IF.8 · AI-A.SSE.3

Zero product property, isolating a square, and the quadratic formula are three tools. Always set the equation equal to zero before factoring.

AI-A.REI.4 · AI-A.SSE.3