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 5 MEDIA EXAMPLE – QUADRATIC FUNCTIONS: VERTEX/AXIS OF SYMMETRY Given the Quadratic Function f(x) = -3x 2 - 2x, complete the table, generate a graph of the function, and plot/label the vertex and axis of symmetry on the graph. Identity the coefficients a, b, c Determine the coordinates of the Vertex. Identify the Axis of Symmetry Equation. Problem 6 YOU TRY – QUADRATIC FUNCTIONS: VERTEX/AXIS OF SYMMETRY Given the Quadratic Function f(x) = 2x 2 - 5, complete the table, generate a graph of the function, and plot/label the vertex and axis of symmetry on the graph. Identity the coefficients a, b, c Determine the coordinates of the Vertex. Plot and label on the graph. Identify the Axis of Symmetry Equation. Scottsdale Community College Page 188 Intermediate Algebra
Lesson 5a - Introduction to Quadratic Functions Mini-Lesson Finding X-Intercepts (Horizontal Intercepts) of a Quadratic Function The quadratic function, f(x) = ax 2 +bx+c, will have x-intercepts when the graph crosses the x- axis (i.e. when f(x) = 0). These points are marked on the graph above as G and H. To find the coordinates of these points, what we are really doing is solving the equation ax 2 +bx+c = 0. At this point, we will use the following general calculator process. In the next lesson, we will learn other methods for solving these equations. Calculator Process to solve ax 2 +bx+c = 0 1. Press Y= then enter f(x) into Y1 2. Enter 0 into Y2 3. Use the graphing/intersection method once to determine G and again to determine H. 4. You will have to use the calculator arrow keys to move your cursor when finding H. Problem 7 WORKED EXAMPLE – FINDING X-INTERCEPTS OF A QUADRATIC FUNCTION Find the x-intercepts of f(x) = x 2 + 4x – 2 and plot/label them on the graph. 1. Press Y= then enter x 2 + 4x - 2 into Y1 2. Enter 0 into Y2 3. Use the graphing/intersection method once to determine G as (-4.45, 0). You may have to move your cursor close to G during the “First Curve?” part. 4. Use the graphing/intersection method again to determine H as (0.45, 0). You may have to move your cursor close to H during the “First Curve?” part. Scottsdale Community College Page 189 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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