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Unformatted text preview: c circlecopyrt Kendra Kilmer January 20, 2009 Section 2.3 - Quadratic Functions Definition: A function of the form is called a quadratic function , where a , b , and c are real numbers and a negationslash = 0. Example 1: Graph f ( x ) = 2 x 2 + 4 x + 1 without the use of a calculator. Definition: The vertex form of a quadratic function is where the vertex (lowest or highest point on the parabola) is the point Definition: The is the line of symmetry through the vertex. Example 2: Given f ( x ) = 4 x 2 + 16 x 8, a) What is the vertex form of the function? b) What does the graph of f ( x ) look like? c) What is the domain and range of f ( x ) ? 9 c circlecopyrt Kendra Kilmer January 20, 2009 Definition: The real zeros (or roots) of a function are its x-intercepts. To find the zeros of a quadratic function: 1. Factor, set each factor equal to zero, and solve for x . 2. Use the quadratic formula: 3. Graph the function on your calculator, hit 2nd TRACE, and then select option 2:zero.3....
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This note was uploaded on 03/27/2012 for the course MATH 142 taught by Professor Drost during the Fall '08 term at Texas A&M.
- Fall '08
- Real Numbers