f) Find the equation for each curve in its final position. a. The graph of y = sin x is shifted a distance of - to the right, reflected in the x-axis, then translated one unit upward. b. The graph of y = cos x is stretched by a factor of 3, shifted a distance of a to the right, translated two units downward, then reflected in the x-axis. c. The graph of y = tan x is shifted - units to the right, %3D stretched by a factor of 3, then translated 2 units upward.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.3: Trigonometric Graphs
Problem 2E
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f) Find the equation for each curve in its final position.
a. The graph of y = sin x is shifted a distance of - to
the right, reflected in the x-axis, then translated one
unit upward.
b. The graph of y = cos x is stretched by a factor of 3,
shifted a distance of a to the right, translated two
units downward, then reflected in the x-axis.
c. The graph of y = tan x is shifted units to the right,
stretched by a factor of 3, then translated 2 units
upward.
d. The graph of y = secx is shifted T units to the left,
reflected in the x-axis, then shifted two units
upward.
g) Find the equations of all asymptotes for y =
h) Find the equations of all asymptotes fr y = sec(2x).
cot(2x).
Transcribed Image Text:f) Find the equation for each curve in its final position. a. The graph of y = sin x is shifted a distance of - to the right, reflected in the x-axis, then translated one unit upward. b. The graph of y = cos x is stretched by a factor of 3, shifted a distance of a to the right, translated two units downward, then reflected in the x-axis. c. The graph of y = tan x is shifted units to the right, stretched by a factor of 3, then translated 2 units upward. d. The graph of y = secx is shifted T units to the left, reflected in the x-axis, then shifted two units upward. g) Find the equations of all asymptotes for y = h) Find the equations of all asymptotes fr y = sec(2x). cot(2x).
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