CHAPTER_ppt_11_5 - 11.5 Quadratic Functions and Their...

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Unformatted text preview: § 11.5 Quadratic Functions and Their Graphs Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 We first examined the graph of f ( x ) = x 2 back in Chapter 3. We looked at the graphs of general quadratic functions of the form f ( x ) = ax 2 + bx + c in Chapter 5. We discovered that the graph of a quadratic function is a parabola opening upward or downward, depending on the coefficient of the x 2 term, a . The highest point or lowest point on the parabola is the vertex . Axis of symmetry is the line that runs through the vertex and through the middle of the parabola. Graphing Quadratic Functions Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 Graph f ( x ) = x 2 Note that a = 1 in standard form. Which way does it open? What is the vertex? What is the axis of symmetry? Graph g ( x ) = x 2 + 3 and h ( x ) = x 2 – 3. What is the vertex of each function? What is the axis of symmetry of each function? Graphing Quadratic Functions Example: Continued Upward (0, 0) x = 0 (0, 3), (0, -3) x = 0 Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 x y f ( x ) = x 2 g ( x ) = x 2 + 3 h ( x ) = x 2 – 3 Graphing Quadratic Functions Example continued: Martin-Gay,...
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This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.

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CHAPTER_ppt_11_5 - 11.5 Quadratic Functions and Their...

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