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Unformatted text preview: Math 1330 Section 2.1 3 Quadratic Functions A quadratic function is a function which can be written in the form gG = + + , where a , b , and c are real numbers and a is not equal to zero. The Standard Form of a Quadratic Function Every quadratic function also known as a parabola is written as gG = + + or can be written in standard form : gG = G + . The vertex is the point G, . The axis of symmetry is the equation x = h . For a quadratic function, gG = + + or gG = G + The graph opens up if a > 0. If  > 1 , is the parabola is narrower; if  < 1 the parabola is wider. The vertex is the turning point of the parabola. If the parabola opens upward the function has a minimum value ( yvalue) . If the parabola opens downward the function has a maximum value ( yvalue) . The axis of symmetry is a line through the vertex that divides the graph in half. The vertex of a parabola whose equation is gG = + + is 2 ,g 2 And the axis of symmetry is = Math 1330 Section 2.1 4 You should be able to identify the following: Direction the graphs opens(upwards or downwards) Whether the function has a maximum or a minimum yintercept coordinates of the vertex equations of the axis of symmetry maximum or minimum Example 5:...
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This note was uploaded on 09/14/2011 for the course MATH calc taught by Professor N/a during the Spring '10 term at University of Houston.
 Spring '10
 N/A

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