4. f(x) = -sin Зл PS = DCP 11 VS =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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I need answer for 4,5,6
For each of the following, identify the amplitude, period, phase shift, and vertical shift. If any don't apply, write "none".

1. \( f(x) = \sin (x - \frac{\pi}{3}) \)
   - A = _______ 
   - P = _______ 
   - PS = ________ 
   - VS = _______ 
   - DCP = __________

2. \( f(x) = -5 \cos (x) + 2 \)
   - A = _______ 
   - P = _______ 
   - PS = ________ 
   - VS = _______ 
   - DCP = __________

3. \( f(x) = 3 \cos 2(x + \pi)\)
   - A = _______ 
   - P = _______ 
   - PS = ________ 
   - VS = _______ 
   - DCP = __________

4. \( f(x) = -\sin (\frac{3\pi}{4} x) - 1 \)
   - A = _______ 
   - P = _______ 
   - PS = ________ 
   - VS = _______ 
   - DCP = __________

Graph the following functions below over one complete period on the trigonometric graph paper:

5. \( f(x) = -2 \cos (x - \frac{\pi}{2}) - 1 \)

6. \( f(x) = \sin 3(x + \frac{\pi}{3}) \)
Transcribed Image Text:For each of the following, identify the amplitude, period, phase shift, and vertical shift. If any don't apply, write "none". 1. \( f(x) = \sin (x - \frac{\pi}{3}) \) - A = _______ - P = _______ - PS = ________ - VS = _______ - DCP = __________ 2. \( f(x) = -5 \cos (x) + 2 \) - A = _______ - P = _______ - PS = ________ - VS = _______ - DCP = __________ 3. \( f(x) = 3 \cos 2(x + \pi)\) - A = _______ - P = _______ - PS = ________ - VS = _______ - DCP = __________ 4. \( f(x) = -\sin (\frac{3\pi}{4} x) - 1 \) - A = _______ - P = _______ - PS = ________ - VS = _______ - DCP = __________ Graph the following functions below over one complete period on the trigonometric graph paper: 5. \( f(x) = -2 \cos (x - \frac{\pi}{2}) - 1 \) 6. \( f(x) = \sin 3(x + \frac{\pi}{3}) \)
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