Dave's Web Corner

MTH-119W Week 14 (November 28-December 4)

• Outline
• Assessments
• Handouts
• Video
• Technology

Outline

8.5 Quadratic Functions and Transformations

• recommended problems
  • 17, 23, 25, 27, 31, 35, 39, 45, 49, 53
• learning objectives
  • graph the basic quadratic function
  • identify transformations of a quadratic function
  • use transformations to graph a quadratic function
  • determine the vertex of a quadratic function written in vertex form

8.6 Graphs of Quadratic Functions

• recommended problems
  • 13, 19, 27, 33, 39, 41, 53, 61, 67, 71
• learning objectives
  • 1. Find the vertex of a quadratic function written in standard form
  • find the x-intercepts and y-intercept for a quadratic function
  • graph a quadratic function using the vertex and intercepts
  • convert a quadratic function from standard form into vertex form by completing the square

8.7 Applications of Quadratic Functions

• recommended problems
  • 7, 9, 17, 19, 21, 23, 25, 31, 33, 37
• learning objectives
  • solve applied problems involving projectile motion
  • solve applied problems involving profit and revenue
  • solve optimization problems
  • find the equation of a quadratic function from the graph

9.1 Exponential Functions

• recommended problems
  • 7, 21, 35, 41, 53, 55, 57, 63, 67, 69
• learning objectives
  • evaluate an exponential function
  • sketch the graph of an exponential function
  • solve problems involving compound interest
  • graph the natural exponential function

9.2 The Inverse of a Function

• recommended problems
  • 19, 21, 41, 43, 53, 63, 65, 71, 73, 79
• learning objectives
  • find the Inverse of a function as a set of ordered pairs
  • graph the inverse of a function
  • find the equation of an inverse function
  • use the horizontal line test to identify a one-to-one function
  • use composition to identify functions that are inverses

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Homework
  • Homework 12 due Friday, December 3 by 11:59pm: Sections 8.5, 8.6, 8.7, 9.1, 9.2
  • Homework 13 due Friday, December 10 by 11:59pm: Sections 9.3, 9.4, 9.5, 9.6
• Quiz
  • Quiz 8 due Saturday, December 4 by 11:59pm: Sections 8.1-8.7
  • Quiz 9 due Saturday, December 11 by 11:59pm: Sections 9.1-9.6
• Exam
  • Exam 3 due Friday, December 17 by 11:59pm: Chapters 7, 8, 9

Handouts

• Announcements
  • Schmidt Award
  • Math Graduate Award
  • Honors Program introduction
  • Tutoring Center services
  • MTH-119W Study Groups
• Graph Paper
  • Rectangular Grids 1 Large Coarse
  • Rectangular Grids 1 Large Medium
  • Rectangular Grids 3 Small
  • Rectangular Grids 6 Small
• Basic Graphs
  • Key Points of the Basic Graphs
• Polynomials
  • Polynomials
  • Polynomial Multiplication
  • Polynomial Long Division
  • Synthetic Division and the Remainder Theorem
  • Greatest Common Factors and Grouping
  • Factoring Trinomials
  • Factoring Special Forms
  • Polynomial Equations
• Rational Expressions
  • Rational Expressions
  • Add and Subtract Rational Expressions
  • Rational Equations
• Radical Functions
  • Graphing Radical Functions
  • Radical Expressions and Functions
  • Simplifying Radical Expressions
  • Radical Equations
  • Complex Numbers
• Quadratic Functions
  • Completing the Square
  • Completing the Square Examples
  • Complete The Square And The Quadratic Formula
  • The Quadratic Formula
  • Parabola Facts
  • Drawing Parabolas
• Exponents and Logarithms
  • Exponents and Logarithms

Video

• Playlists
  • MTH-119W Recommended Problems
  • MTH-119W Topics
• Recommended Problems
  • Chapter 8
  • Chapter 9
• Topics
  • Completing the Square
    • No fractions No Radicals
    • No Fractions with Radicals
    • No Fractions Simplify Radicals
    • with Fractions
  • Quadratic Formula
    • Short and Sweet
    • Simplify Radical
    • Additional Cancellation
    • Complex Roots
    • Factors
  • Complex Numbers
    • Addition and Subtraction of Complex Numbers
    • Multiplication of Complex Numbers
    • Complex Conjugate Multiplication
    • Division of Complex Numbers
  • Compound Interest
    • Discretely Compounded Interest
    • Continuously Compounded Interest
    • Accumulation Time without Calculator
    • Accumulation Time with Calculator

Technology

• Communication
  • Zoom
  • Microsoft Lens
  • Apple Notes
  • Adobe Scan
  • Joining a Zoom Webinar
  • MTH-119W Questions folder
• Desmos
  • Some Basic Graphs, Points, and Tables
  • a parabola through three points
  • a fun rational function
  • The Vertex Form of a Parabola
  • Roots of Quadratic Equations
  • solutions of quadratic equations
  • basic exponential function pattern