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Chapter 3-1 Notes

# Chapter 3-1 Notes - Page 1 of 2 Math 1332 College...

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Page 1 of 2 Source: College Mathematics , Rockswold G., Bennett J., and Briggs W. C:/CLASES_COLEGIO/2007/NOTAS/0102/ 02/04/07 Math 1332 - College Mathematics Chapter 3-1 Notes Quadratic Functions and Models We’ve learned what linear functions are and how they model perfectly linear or nearly linear data. We now focus on working with nonlinear data (curvilinear), specifically quadratic functions. Quadratic Function : f(x) = ax 2 + bx + c represents a quadratic function, where a , b , and c are real numbers with a 0 . The domain of a quadratic function is all real numbers. Vertex Form : Another way the quadratic function can be expressed: f(x) = a ( x-h ) 2 + k (note: best form to use when modeling data) The graph is a parabola, a U-shaped graph that opens either upward or downward a is the leading coefficient Æ If a > 0 , the graph opens upward, if a < 0 , the graph opens downward , also a controls the width of the parabola (narrow or wide) Vertex ( h,k ) Æ the highest point on a parabola that opens downward or the lowest point

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Chapter 3-1 Notes - Page 1 of 2 Math 1332 College...

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