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a Write an equation for each part below and sketch a graph of a function that has a parent graph of y= sin x, but is: L. Shifted 3 units up Graph:

a Write an equation for each part below and sketch a graph of a function that has a parent graph of y= sin x, but is: L. Shifted 3 units up Graph:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 37E
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22:13 1 ull ? 67p Intro to Tr.. 7.2.1 How can I transform a sine graph? Transformations of y=sin.x In Chapter 2, you developed expertise in investigating functions and transforming parent graphs. In this section, you will investigate families of trigonometric functions and their transformations. By the end of this section, you will be able to graph any sine or cosine equation and write the equation of any sine or cosine graph. 7-113. As you have seen with many functions in this and other courses, x is generally used to represent an input and y is used to represent the corresponding output. By this convention, trigonometric functions should be written y = sin x, y = cos x and y = tan x. But beware! Something funny is happening. With your team, examine the unit circle and the three graphs below. What do x and y represent in the unit circle? What do they represent in each of the graphs? Discuss this with your team and be prepared to share your ideas with the class. 7-115. Sketch a graph of at least one cycle of y = sin x. Label the intercepts. Then work with your team to complete parts (a) through (c) below. a. Write an equation for each part below and sketch a graph of a function that has a parent graph of y3 sin x, but is: i. Shifted 3 units up Graph: Equation:
Transcribed Image Text:22:13 1 ull ? 67p Intro to Tr.. 7.2.1 How can I transform a sine graph? Transformations of y=sin.x In Chapter 2, you developed expertise in investigating functions and transforming parent graphs. In this section, you will investigate families of trigonometric functions and their transformations. By the end of this section, you will be able to graph any sine or cosine equation and write the equation of any sine or cosine graph. 7-113. As you have seen with many functions in this and other courses, x is generally used to represent an input and y is used to represent the corresponding output. By this convention, trigonometric functions should be written y = sin x, y = cos x and y = tan x. But beware! Something funny is happening. With your team, examine the unit circle and the three graphs below. What do x and y represent in the unit circle? What do they represent in each of the graphs? Discuss this with your team and be prepared to share your ideas with the class. 7-115. Sketch a graph of at least one cycle of y = sin x. Label the intercepts. Then work with your team to complete parts (a) through (c) below. a. Write an equation for each part below and sketch a graph of a function that has a parent graph of y3 sin x, but is: i. Shifted 3 units up Graph: Equation:
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