ca_m4

# ca_m4 - MAC 1105 Module 4 Quadratic Functions and Equations...

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Rev.S08 MAC 1105 Module 4 Quadratic Functions and Equations

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Rev.S08 4 What is a Quadratic Function? Recall that a linear function can be written as f ( x ) = ax + b (or f ( x ) = mx + b ). The formula for a quadratic function is different from that of a linear function because it contains an x 2 term. f ( x ) = 3 x 2 + 3 x + 5 g ( x ) = 5 - x 2 http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Rev.S08 5 Quadratic Functions (Cont.) The graph of a quadratic function is a parabola —a U shaped graph that opens either upward or downward . A parabola opens upward if a is positive and opens downward if a is negative. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.

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Rev.S08 6 Quadratic Functions (Cont.) The highest point on a parabola that opens downward and the lowest point on a parabola that opens upward is called the vertex . The vertical line passing through the vertex is called the axis of symmetry . The leading coefficient a controls the width of the parabola . Larger values of | a | result in a narrower parabola, and smaller values of | a | result in a wider parabola. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Rev.S08 7 Example of Different Parabolas http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. Note: A parabola opens upward if a is positive and opens downward if a is negative.

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