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3.4 Quadratic Functions Notes

by: Kiana Thompson

3.4 Quadratic Functions Notes 1130-02

Marketplace > University of Tennessee - Chattanooga > Math > 1130-02 > 3 4 Quadratic Functions Notes
Kiana Thompson
College Algebra
John Graef

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About this Document

Here is 3.4 College Algebra Notes on Quadratic Functions
College Algebra
John Graef
Class Notes
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This 2 page Class Notes was uploaded by Kiana Thompson on Sunday October 4, 2015. The Class Notes belongs to 1130-02 at University of Tennessee - Chattanooga taught by John Graef in Summer 2015. Since its upload, it has received 90 views. For similar materials see College Algebra in Math at University of Tennessee - Chattanooga.

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Date Created: 10/04/15
College Algebra Week 7 Notes Quadratic Functions Quadratic functions can be written in the form fx ax2 bx c a 0 Dissecting 1 If a gt 0 positive the parabola opens up If a lt 0 negative the parabola opens down 2 The Vertex the center point is the highest or lowest on the function depending on whether the parabola opens up or down Finding the vertex if the function is in standard form fx ax2 bx c i9 i9 b i9 Vertex za f 2a ie x 26 and yf 2a b 3 Axis of Symmetry x x value of vertex ie x 2a 4 The y intercept is c 5 The x intercepts are found when y O O ax2 bx c 6 Find the maximum value if it exists or the minimum value if it exists of the function The y value of the vertex will be either the maximum or minimum value of the function depending on which direction the parabola opens 7 Find the domain input values and range output values EXAMPLES fxx2 2x 3 a lb 2C 3 Positive or negative POSITIVE GRAPH OPENS UP Find vertex m 5 1 X 12 21 3 4 y VERTEX 1 4 AXis of symmetry X 1 The y intercept y 0 3 The X intercepts X2 2X 3 factor X 3 X1 X 3O amp X1O X 3 amp X 1 Find maxmin value 1 4 Minimum Value NO Maximum Find domain amp range D oo w R 3949 OO


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