(1) Compare the functions y = sin(x), y = sin(x-7), y = sin(x) — 2 and y = 2 sin(x): (a) Give the range and domain of each function. (b) The graph y = sin(x) is the graph y = sin(x) shifted in which direction and by how many units? (c) The graph y = sin(x) – 2 is the graph y = sin(x) shifted in which direction and by how many units? (d) What is the function obtained by shifting the graph y = sin(x) down h units and k units to the right?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(1) Compare the functions y = sin(x), y = sin(x-7), y = sin(x) — 2 and y = 2 sin(x):
(a) Give the range and domain of each function.
(b) The graph y = sin(x) is the graph y = sin(x) shifted in which direction
and by how many units?
(c) The graph y = sin(x) – 2 is the graph y = sin(x) shifted in which direction
and by how many units?
(d) What is the function obtained by shifting the graph y = sin(x) down h units
and k units to the right?
Transcribed Image Text:(1) Compare the functions y = sin(x), y = sin(x-7), y = sin(x) — 2 and y = 2 sin(x): (a) Give the range and domain of each function. (b) The graph y = sin(x) is the graph y = sin(x) shifted in which direction and by how many units? (c) The graph y = sin(x) – 2 is the graph y = sin(x) shifted in which direction and by how many units? (d) What is the function obtained by shifting the graph y = sin(x) down h units and k units to the right?
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