Pre-Calculus 11 · Algebra

Quadratic Functions

The parabola is the signature curve of quadratic functions. Vertex form f(x) = a(x − h)² + k reveals everything at a glance: the vertex is (h, k), the axis of symmetry is x = h, and a tells you how wide and which way the parabola opens. Students learn to move fluently between the three forms — each one best suited for different purposes.

WHAT STUDENTS WILL LEARN

✓Graph quadratic functions in vertex form: f(x) = a(x − h)² + k

✓Identify the vertex, axis of symmetry, and direction of opening

✓Convert between vertex form, factored form, and standard form

✓Analyze the effect of a, h, and k on the shape and position of the parabola

BUILDS ON

Relations, Functions, and Function NotationPre-Calculus 10 Factoring Polynomials — Complete MethodsPre-Calculus 10

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