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Quadratic Functions Extreme Values and Graphs

Quadratic Functions Extreme Values and Graphs. Honors Algebra II with Trigonometry February 7-8, 2013 Mrs. Agnew. Essential Question How do you graph quadratic functions? Essential Vocabulary Quadratic Function Vertex Extreme Value Standard Form Vertex Form. Quadratic Functions.

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Quadratic Functions Extreme Values and Graphs

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

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

  3. 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.

  4. 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…

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

  6. 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…

  7. Homework: February 7 -Extreme Values Worksheet Provided

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