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3.1 Quadratic functions and models Quadratic functions have the form . The graphs of these functions are parabolas that will either open up or down. This depends on the sign of the number a. a>0 a<0 The highest of lowest point, depending on the value of a, is called the vertex. Finding the vertex is important in applications involving telecommunications or just setting up a satellite TV dish. There are two ways to find this. Standard form: . In this form the vertex is (h,k). General form: . In this form the vertex can be found using the formula . Example 1. Identify the vertex and of the graph.
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Example 2. Identify the vertex of the graph. Example 3. Find the vertex for f(x) = (x - 3) 2 - 3. Is the vertex a minimum or a maximum? Example 4. Find the vertex for f(x) =
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  • Fall '16
  • Portillo
  • Algebra, Quadratic equation, Conic section, Quadratic form, Quadratic polynomial

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