Quadratic Functions Extreme Values and Graphs

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Presentation transcript:

Quadratic Functions Extreme Values and Graphs Honors Algebra II with Trigonometry February 7-8, 2013 Mrs. Agnew

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

Quadratic Functions Standard Form: y = ax2 + bx + c What is the graph of a quadratic function? What is the vertex? The axis of symmetry? The vertex and symmetry are important parts of the graph of a quadratic function.

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: February 6 Textbook: Pages 6 –7 #21, 22, 23, 24, 25, 30, 31, 33-38 (do not find the value)

Extreme Values An extreme value is the largest or smallest y value for a given function. Where is the extreme value for quadratics? When asked to find a maximum or minimum value, always find the y coordinate of the vertex. Examples…

Homework: February 7 -Extreme Values Worksheet Provided