Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 5a - Introduction to Quadratic Functions Mini-Lesson Problem 2 MEDIA EXAMPLE – GRAPH QUADRATIC FUNCTIONS Given the Quadratic Function f(x) = -3x 2 - 2x, complete the table and generate a graph of the function. Identity the coefficients a, b, c Which direction does the parabola open? why? What is the y-intercept? Problem 3 YOU TRY – GRAPH QUADRATIC FUNCTIONS Given the Quadratic Function f(x) = 2x 2 - 5, complete the table and generate a graph of the function. Identity the coefficients a, b, c Which direction does the parabola open? why? What is the y-intercept? Plot and label on the graph. Scottsdale Community College Page 186 Intermediate Algebra
Lesson 5a - Introduction to Quadratic Functions Mini-Lesson VERTEX and the AXIS of SYMMETRY for a QUADRATIC FUNCTION Given a quadratic function, ( ) The VERTEX is the lowest or highest point (ordered pair) of the parabola b To find the x-coordinate, identify coefficients a and b then compute 2a b To find the y-coordinate, plug the x-coordinate into the function (i.e. evaluate f ( ) ) 2a The Vertex is written as an ordered pair (x,y). Another way to look at this is: Vertex = ( ( )) The AXIS OF SYMMETRY is the vertical line that divides the parabola in half. b Equation x = 2a Problem 4 WORKED EXAMPLE – QUADRATIC FUNCTIONS: VERTEX/AXIS OF SYMMETRY Given the Quadratic Function f(x) = x 2 + 4x – 2, generate a graph of the function, and plot/label the vertex and axis of symmetry on the graph. Identity the coefficients a, b, c: a = 1, b = 4, c = -2 Determine the coordinates of the Vertex: x-coordinate: ( ) ( ) y-coordinate: ( ) ( ) ( ) ( ) ( ) ( ) Vertex ordered pair: (-2, -6) Identify the Axis of Symmetry Equation: b Equation x = = -2 so x = -2 is the Axis of Symmetry. 2a Scottsdale Community College Page 187 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 2b - Functions and Function
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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