2.7 Absolute Value Functions and Graphs

Slides:



Advertisements
Similar presentations
3.2 Graphing Quadratic Functions in Vertex or Intercept Form
Advertisements

6.1/6.2/6.6/6.7 Graphing , Solving, Analyzing Parabolas
2.6 – Vertical and Horizontal Translations
Table of Contents Graphing Quadratic Functions – Concept A quadratic function in what we will call Standard Form is given by: The graph of a quadratic.
The General Quadratic Function Students will be able to graph functions defined by the general quadratic equation.
Graphing Quadratic Functions Algebra II 3.1. TERMDefinitionEquation Parent Function Quadratic Function Vertex Axis of Symmetry y-intercept Maximum Minimum.
Apply rules for transformations by graphing absolute value functions.
Section 2.7 – Absolute Value The table shows the numbers of hours students spent online the day before a test and the scores on the test. Make a scatter.
Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.
Objective: To us the vertex form of a quadratic equation 5-3 TRANSFORMING PARABOLAS.
Chapter 10.1 Notes: Graph y = ax 2 + c Goal: You will graph simple quadratic functions.
 Objectives: Solve quadratic equations that cannot be factored by completing the square  Vocabulary: Perfect Square Trinomial- A trinomial of the form.
4.1 Graph Quadratic Functions in Standard Form
2.7 Absolute Value Tranformations
Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?
Graphing quadratic functions (Section 5.1. Forms of the quadratic function  Standard form  Vertex form  Intercept form.
Advanced Algebra Notes
Vertex form Form: Just like absolute value graphs, you will translate the parent function h is positive, shift right; h is negative, shift left K is positive,
5.3 Transformations of Parabolas Goal : Write a quadratic in Vertex Form and use graphing transformations to easily graph a parabola.
Notes Over 2.8 Graphing an Absolute Value Function xy Vertex: Axis of Symmetry: Slope: ( 1, 2 ) x = 1 up 2, right/left.
2.7 Absolute Value Functions and Graphs The absolute value of x is its distance from 0, the absolute value of f(x), or |f(x)|, gives the distance from.
WARM UP What is the x-coordinate of the vertex? 1.y = -2x 2 + 8x – 5 2.y = x 2 + 3x -2 4.
Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:
Vocabulary The function f(x) = |x| is an absolute value function. The highest of lowest point on the graph of an absolute value function is called the.
Objective: Students will be able to 1)Find the axis of symmetry 2)Find the vertex 3)Graph a quadratic formula using a table of values.
2.1Intercepts;Symmetry;Graphing Key Equations
2.8 Absolute Value Functions
Graphing Quadratic Functions and Transformations
2.6 Families of Functions Learning goals
Use Absolute Value Functions and Transformations
Absolute Value functions
2-7 Absolute Value Functions and Graphs
Graph Absolute Value Functions using Transformations
Chapter 2: Functions, Equations, and Graphs
Graph Absolute Value Functions using Transformations
2.7 Absolute Value Functions
Graphs of Quadratic Functions
3.2 Graphing Quadratic Functions in Vertex or Intercept Form
Graphing Quadratic Functions in Vertex or Intercept Form
8.1 Graphing f(x) = ax2.
Graph Absolute Value Functions using Transformations
Absolute Value Functions and Graphs
3.2 Graphing Quadratic Functions in Vertex or Intercept Form
Use Absolute Value Functions and Transformations
parabola up down vertex Graph Quadratic Equations axis of symmetry
8.1 Graphing f(x)=ax2 Students will be able to identify characteristics of quadratic functions. Students will be able to graph quadratic functions of the.
Graph Absolute Value Functions using Transformations
Lesson 5-1 Graphing Absolute Value Functions
Quad Frame Vertex Name: For each equation:
Bellwork.
Find the x-coordinate of the vertex
Quadratic Functions The graph of a quadratic function is called a parabola. The parent function is given as This is the parent graph of all quadratic functions.
Graphing Quadratic Functions (10.1)
Questions over tests?.
Daily Check Factor: 3x2 + 10x + 8 Factor and Solve: 2x2 - 7x + 3 = 0.
Graphs of Quadratic Functions
Chapter 10 Final Exam Review
9-1 Quadratic Graphs and Their Properties Graph y = ax2 + c
Graphing Absolute Value Functions
Graphing Quadratic Functions in Vertex form
Absolute Value Equations
2.4 Use Absolute Value Functions and Transformations (Part 1) p. 40
Quiz: Friday Midterm: March 11
2.4 Use Absolute Value Functions and Transformations (Part 1) p. 40
Graphing Absolute Value Functions
Quad Frame Vertex Name: For each equation:
Graphing Absolute Value Functions
Graphing Quadratic Functions
1-6: Absolute Value Equations
Do Now 3/18/19.
Presentation transcript:

2.7 Absolute Value Functions and Graphs

The simplest form of the absolute value function is written f(x)=|x| or y = |x|. This is called the parent function. Its v shaped and symmetric about a vertical line called the axis of symmetry. The highest or lowest point is called the vertex.

Ex 4) Without graphing, find the vertex, axis of symmetry, and transformations from the parent function.

Additional Example) Without graphing, find the vertex, axis of symmetry, and transformations from the parent function.

Ex 1) Make a table and graph

Ex 5) What is the equation of the absolute value function?