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: 1. Shifted 3 units up Equation: Graph: Intercepts: Domain: Range: H. Reflected across the x-axis Graph:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 9E
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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:
Equation:
Intercepts:
Domain:
Range:
ii. Reflected across the x-axis
Graph:
Equation:
Intercepts:
Domain:
Range:
iii. Shifted units to the right.
Graph:
Equation:
Intercepts:
Domain:
Range:
iv. Vertically stretched by a factor of 2
Graph:
Equation:
Intercepts
Domain:
Range:
b. Which points are most important to label in a periodic function? Why?
c. Write a general equation for the family
functions with a parent graph of y = sin x.
d. Use what you have learned here to write a general equation for the family of functions with a parent graph
of y = cos x.
Transcribed Image Text:3 of 3 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: Equation: Intercepts: Domain: Range: ii. Reflected across the x-axis Graph: Equation: Intercepts: Domain: Range: iii. Shifted units to the right. Graph: Equation: Intercepts: Domain: Range: iv. Vertically stretched by a factor of 2 Graph: Equation: Intercepts Domain: Range: b. Which points are most important to label in a periodic function? Why? c. Write a general equation for the family functions with a parent graph of y = sin x. d. Use what you have learned here to write a general equation for the family of functions with a parent graph of y = cos x.
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