Unit 2: Functions.

Slides:

Advertisements

Similar presentations

Lesson 3.1 Graph Cubic Functions Goal Graph and analyze cubic functions.

Advertisements

Reflections Lesson 6-2 Page 461.

Function Transformations. Objectives: To interpret the meaning of the symbolic representations of functions and operations on functions including: a·f(x),

2.7: Absolute Value Functions and Graphs

Copyright © 2009 Pearson Education, Inc. CHAPTER 2: More on Functions 2.1 Increasing, Decreasing, and Piecewise Functions; Applications 2.2 The Algebra.

Transformation of Functions College Algebra Section 1.6.

Advanced Algebra II Notes 4.5 Reflections and the Square Root Family

3-1 Symmetry and Coordinate Graphs Pre Calc A. Point Symmetry Symmetric about the origin: any point in Quadrant I has a point in Quadrant III (rotate.

4.3 Reflecting Graphs; Symmetry

SYMMETRY, EVEN AND ODD FUNCTIONS NOTES: 9/11. SYMMETRY, EVEN AND ODD FUNCTIONS A graph is symmetric if it can be reflected over a line and remain unchanged.

Do Now   Describe the translations in words (x, y)  (x – 5, y + 3) (x, y)  (x + 2, y - 1) (x, y)  (x + 0, y + 2)

3-2 Families of Graphs Pre Calc A. Parent Graphs.

4.1 Quadratic Functions and Transformations A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax 2 + bx + c, where.

0-2: Smart Graphing Objectives: Identify symmetrical graphs

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.

4.3 Symmetry Objective To reflect graphs and use symmetry to sketch graphs. Be able to test equations for symmetry. Use equations to describe reflections.

Section 3-2: Analyzing Families of Graphs A family of graphs is a group of graphs that displays one or more similar characteristics. A parent graph is.

CHAPTER 2: More on Functions

2.1Intercepts;Symmetry;Graphing Key Equations

Section 3.5 – Transformation of Functions

Reflecting, Stretching and Shrinking Graphs

WARM UP Use the graph of to sketch the graph of

Do-Now What is the general form of an absolute value function?

Pre-AP Algebra 2 Goal(s):

Transformation of Functions

Core Focus on Functions & Data

Absolute Value Transformations

Warm-Up 1. On approximately what interval is the function is decreasing. Are there any zeros? If so where? Write the equation of the line through.

Homework Log Fri 10/2 Lesson 2 – 7 Learning Objective:

Absolute Value Functions

Homework Questions.

Functions, Symmetry, and the Parent Functions

2-6 Families of Functions

Objective Describe how changing slope and y-intercept affect the graph of a linear function. Translations, Rotations, and Reflections. What will happen.

Logarithmic Functions and Their Graphs

Symmetry and Coordinate Graphs Section 3-1

Absolute Value Functions and Graphs

Test questions will be at the end of class…

Use Absolute Value Functions and Transformations

Lesson 5-1 Graphing Absolute Value Functions

Section 2.4 Symmetry.

Unit 2: Functions.

Transformations of Functions

4.3 Symmetry Which graph is NOT a function?

Transformations Geometry

Parent Functions and Transformations

2.7 Graphing Absolute Value Functions

Unit 2: Functions.

Warm Up – August 23, 2017 How is each function related to y = x?

Functions, Symmetry, and the Parent Functions

Worksheet KEY 1) {0, 2} 2) {–1/2} 3) No 4) Yes 5) 6) 7) k = 1 8)

Section 2.4 Symmetry Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.

CHAPTER 2: More on Functions

2.7 Graphing Absolute Value Functions

6.4a Transformations of Exponential Functions

Power Functions Investigating symmetry to determine if a power function is even, odd, or neither.

Chapter 2 More on Functions.

2.4 Symmetry and Transformations

Choose the correct translation from pre-image to image B

Transformations to Parent Functions

REFLECTIONS AND SYMMETRY

Transformations of Functions

Maps one figure onto another figure in a plane.

How does the point (2, 4) change as a result of the transformation

Classify functions as even or odd.

15 – Transformations of Functions Calculator Required

Odd and Even Functions MCC9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of.

Honors Algebra 2 Chapter 4

Trashketball EOCT Review Unit 5.

Warm up honors algebra 2 3/1/19

Presentation transcript:

Unit 2: Functions

Translations First, you have to know what the parent functions look like! Parent functions…

We did this in Alg 2! Graph the parent function and move it! Left or right? Up or down? Flip or normal?

New to Pre-Calc… -f(x) If there is a negative in the front it is a reflection over the x-axis. (flip) f(-x) If there is a negative on the “inside” it is a reflection over the y-axis. (mirror imaged)

Graph Exponential Example Log Example

Practice Graphing

Symmetry

Symmetry - Examples w/ respect to the y-axis (EVEN) f(x) = x2 w/ respect to the x-axis x = y2 w/ respect to the origin (ODD) f(x) = x3

Symmetry - algebraically

Homework P. 99 (47-54) p. 110 (29-31 no calc…just graph, 35, 38, 39, 41)