Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period.

Slides:

Advertisements

Similar presentations

4.5 – Graphs of the other Trigonometric Functions Tangent and Cotangent.

Advertisements

6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.

Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete.

Problem of the Day. Section 4.5: Graphs of Sine and Cosine Functions. Pages What you should learn Sketch the graphs of basic sine and cosine.

Unit 5 – Graphs of the other Trigonometric Functions Tangent and Cotangent MM4A3. Students will investigate and use the graphs of the six trigonometric.

4.5 Sinusoidal Graphs Sketching and Writing Equations.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.

Graphs Transformation of Sine and Cosine

MTH 112 Elementary Functions Chapter 5 The Trigonometric Functions Section 6 – Graphs of Transformed Sine and Cosine Functions.

The vertex of the parabola is at (h, k).

Transformation of Functions Section 1.6. Objectives Describe a transformed function given by an equation in words. Given a transformed common function,

Lesson 5-8 Graphing Absolute Value Functions

Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching.

Section 3.2 Notes Writing the equation of a function given the transformations to a parent function.

Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.

Warm-Up: 9/14/12 Find the amplitude, period, vertical asymptotes, domain, and range. Sketch the graph.

6-8 Graphing Radical Functions

Translations Translations and Getting Ready for Reflections by Graphing Horizontal and Vertical Lines.

2.7 Graphing Absolute Value Functions The absolute value function always makes a ‘V’ shape graph.

Graphing Reciprocal Functions

8-2 Properties of Exponential Functions. The function f(x) = b x is the parent of a family of exponential functions for each value of b. The factor a.

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

WHICH TRANSFORMATIONS DO YOU KNOW? ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? ROTATION.

 How would you sketch the following graph? ◦ y = 2(x – 3) 2 – 8  You need to perform transformations to the graph of y = x 2  Take it one step at a.

Section 6.6 Graphs of Transformed Sine and Cosine Functions Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.

Translations Translations and Getting Ready for Reflections by Graphing Horizontal and Vertical Lines.

Section 3.5 Graphing Techniques: Transformations.

Translations of Sine and Cosine Functions

2.7 – Use of Absolute Value Functions and Transformations.

Review of Transformations and Graphing Absolute Value

Vocabulary The distance to 0 on the number line. Absolute value 1.9Graph Absolute Value Functions Transformations of the parent function f (x) = |x|.

1. g(x) = -x g(x) = x 2 – 2 3. g(x)= 2 – 0.2x 4. g(x) = 2|x| – 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.

Do Now: State the domain of the function.. Academy Algebra II 7.1, 7.2: Graph Exponential Growth and Decay Functions HW: p.482 (6, 10, even), p.489.

Section 9.3 Day 1 Transformations of Quadratic Functions

Section 1.4 Transformations and Operations on Functions.

EXAMPLE 1 Compare graph of y = with graph of y = a x 1 x 1 3x3x b. The graph of y = is a vertical shrink of the graph of. x y = 1 = y 1 x a. The graph.

Think about riding a bike and pumping the pedals at a constant rate of one revolution each second. How does the graph of the height of one of your feet.

Label each of the following graphs with the appropriate function. Calculator should be set to radians. Window Xscl should be set to pi. The amplitude equals:

Section 2.5 Transformations Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.

Warm-Up Evaluate each expression for x = -2. 1) (x – 6) 2 4 minutes 2) x ) 7x 2 4) (7x) 2 5) -x 2 6) (-x) 2 7) -3x ) -(3x – 1) 2.

Section 1-5 Graphical Transformations. Section 1-5 vertical and horizontal translations vertical and horizontal translations reflections across the axes.

5-3 Using Transformations to Graph Quadratic Functions.

Transforming Linear Functions

7-8 Graphing Square root and other radical functions

Graphing Trigonometric Functions

Objective: Graphs of sine and cosine functions with translations.

How do we recognize and graph periodic and trigonometric functions?

Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions

Work on worksheet with 8 multiple choice questions.

Transforming Graphs of Cosine Functions Mr

Translations of Trigonometric Graphs.

Translations of Sine and Cosine Functions

Graph Transformations

Notes Over 6.4 Graph Sine, Cosine Functions.

6.7 Graphing Absolute Value Equations

2.7 Graphing Absolute Value Functions

4.5 Basic Sine/Cosine Graphs

How do we recognize and graph periodic and trigonometric functions?

F(x) = a b (x – h) + k.

How do we recognize and graph periodic and trigonometric functions?

4.2 – Translations of the Graphs of the Sine and Cosine Functions

U8P2D6 Have out: Bellwork:

2.7 Graphing Absolute Value Functions

Section 4.5 Graphs of Sine and Cosine Functions

What is your best guess as to how the given function

8.3 – Model Periodic Behavior

Warm-up: For the following equation, give the required values and graph. For the shifts, give direction as well as units of translation. If there is.

15 – Transformations of Functions Calculator Required

7.4 Periodic Graphs & Phase Shifts Objectives:

Trigonometric Functions

Presentation transcript:

Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period

Notes Over 14.2 Translations of Trigonometric Graphs Translation of a Sine Function Amplitude Period

Notes Over 14.2Graphing a Vertical Translation Graph the function. Amplitude Period Translation down 2

Notes Over 14.2 Graphing a Vertical Translation Graph the function. Amplitude Period Translation up 3

Notes Over 14.2 Graphing a Vertical Translation Graph the function. Period Translation down 3

Notes Over 14.2Graphing a Horizontal Translation Graph the function. Amplitude Period Translation right 

Notes Over 14.2 Graphing a Horizontal Translation Graph the function. Amplitude Period Translation left 

Notes Over 14.2 Graphing a Horizontal Translation Graph the function. Amplitude Period Translation right 

Notes Over 14.2Graphing a Reflection Graph the function. Amplitude Period Reflection over x-axis

Notes Over 14.2 Graphing a Reflection Graph the function. Amplitude Period Reflection over x-axis

Notes Over 14.2 Graphing a Reflection Graph the function. Reflection over x-axis Period

Notes Over 14.2