Homework Questions.

Slides:

Advertisements

Similar presentations

1.4 – Shifting, Reflecting, and Stretching Graphs

Advertisements

How do we perform transformations of functions?

Parent Function Transformation Students will be able to find determine the parent function or the transformed function given a function or graph.

Transforming the Eight Parent Graphs. Vertical Compression Vertical Dilations Vertical Stretch Transform! (Click Me)

Unit 3 Functions (Linear and Exponentials)

Unit 3 Functions (Linear and Exponentials)

Day 5 Book Section 7.8 Get 2 grids for the 2 shift problems!

Objective Video Example by Mrs. G Give It a Try Lesson 7.4  Identify and graph parent functions of the following families of functions: Linear Absolute.

Name That Graph…. Parent Graphs or Base Graphs Linear Quadratic Absolute Value Square Root Cubic Exponential Math

9.4 – Solving Quadratic Equations By Completing The Square

9/18/ : Parent Functions1 Parent Functions Unit 1.

2.2 Function Library Learning Objective: to identify different types of functions and their transformations. Also, to graph piecewise functions. Warm-up.

1.3 Families of Equations. What families of graphs have your studied? Linear Absolute Value Quadratic Square Root Cubic Cube Root.

Parent Functions AII.6. Functions At this point you should be very familiar with linear and absolute value functions. You should be able to ◦ Recognize.

Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.

A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)

By Holly Carlson. Quadratic y = x² General shape: U Domain: (-∞, ∞) Formula: a. Y= A*(x+B)² + C

Parent Functions and Transformations. Transformation of Functions Recognize graphs of common functions Use shifts to graph functions Use reflections to.

1.6 A Library of Parent Functions Ex. 1 Write a linear function for which f(1) = 3 and f(4) = 0 First, find the slope. Next, use the point-slope form of.

Graphing Form. ( h, k ): The Key Point The value of a Positive: Same OrientationIf it Increases: Vertical Stretch Negative: FlippedIf it Decreases: Vertical.

Math-3 Lesson 1-3 Quadratic, Absolute Value and Square Root Functions

Math 1111 Test #2 Review Fall Find f ° g.

Section 3.5B: Parent Functions

Parent LINEAR Function Start at the Origin Symmetry with Respect to the Origin.

General Form of the Equation: ______________________ Parent Graph f(x) = x 2 A = 1; B = 0; C = 0 Linear Transformations: Slide “B” to the right. Slide.

Transformations of Functions You need your notebook and pencil.

Unit 3 Test Review – Identifying Parent Functions October 30, 2014.

Parent Function Notes.

Ch. 1 – Functions and Their Graphs 1.4 – Shifting, Reflecting, and Sketching Graphs.

World 2-3 Transformations of a Function. Recall that in the past you have encountered functions of degrees 0 and 1. DegreeFunction Type 0 f(x) = bConstant.

Section P.3 Transformation of Functions. The Constant Function.

Inverse Functions of lines/quadratics/and cubics~ edited by Tyler Zeng, Jefferson Lam, Peng Feng.

Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.

Target: We will be able to identify parent functions of graphs.

Absolute Value Function

QUADRATIC FUNCTION CUBIC FUNCTION

Warm Up Identify the domain and range of each function.

Solve the radical equation

Warm-up Handout!.

Function Transformations

Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.

Unit 2: Functions.

Test questions will be at the end of class…

Sec. 1.4 Quadratic Equations.

Rev Graph Review Parent Functions that we Graph Linear:

Identifying Functions

WARM UP 3-2 Check the origin too!.

1.6 A Library of Parent Functions

Unit 2: Functions.

Graph Square Root and Cube Root Functions

Warm Up Identify the transformation for each function:

Parent Functions.

QUADRATIC FUNCTION- Day 1

Parent Functions.

Parent Functions and Transformations

Unit 2: Functions.

Bell Ringer 1. What is the Quadratic Formula?

Reflections Stretching and Shrinking

Horizontal shift right 2 units Vertical shift up 1 unit

Horizontal Shift left 4 units Vertical Shift down 2 units

Analyze Graphs of Functions

WARM UP ANNOUNCEMENTS -Pick up your assigned calculator -Pick up Unit 3 HW Packet -Check your file for School Beautification Project grades Copy down the.

Solve each quadratic using whatever method you choose!

Unit 4: Transformations and piecewise functions

Worksheet Key 1) (–∞, –4] 2) [–1, ∞) 3) (–4, ∞) 4) (–∞, –2) 5)

Move left 2, open downward

Equations Involving Absolute Value

2.6 transformations of functions Parent Functions and Transformations.

Presentation transcript:

Homework Questions

Translations

Parent Functions These are the original functions before any transformations occur. Handout – keep for future reference, but start learning these by memory! (For now you can skip over the last 4, but get ready…that is coming soon!)

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

More examples Linear Example Absolute Value Ex

More examples Quadratic Example Cubic Example

Practice Graphing

More examples Square Root Example Cube Root Example

Practice Graphing

Practice Graphing

Practice Graphing

More examples Exponential Example Log Example

Write the equation of these 4!

Write the equation of these 4!

Write the equation of these 4!

Three More…

Homework Start on the side that says “Graphing Translations 1” and work in your groups. Whatever you don’t finish in class is homework. QUIZ tomorrow!