Graphing Quadratic Functions

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Presentation transcript:

Graphing Quadratic Functions Honors Algebra II with Trigonometry Mr. Agnew

Essential Stuff Essential Question Essential Vocabulary How do you graph quadratic functions? Essential Vocabulary Quadratic Function Vertex Standard Form

Quadratic Functions Standard Form: y = ax2 + bx + c The graph of a quadratic equation is a parabola.

Quadratic Functions Vertex: The highest or lowest point on a parabola Axis of symmetry: Divides the parabola into mirror images and passes through the vertex

Quadratic Functions Every point on a parabola (except the vertex) has a corresponding point the same distance from the axis of symmetry.

Graphs of Quadratics Graphing quadratics from standard form… Identify axis of symmetry: x = – b_ 2a Identify vertex using axis of symmetry Find a point on parabola and use symmetry to find another point (i.e., y-intercept) Examples

Homework 4.1: Graphing from Standard Form