Determine the amplitude, the period, and the phase shift of the function and, without a graphing calculator, sketch the graph of the function by hand. Then check the graph using a graphing calculator. $$y=\cos \left(x-\frac{\pi}{2}\right)$$
Added by Margarita B.
Step 1
Amplitude: The amplitude of a cosine function is the absolute value of the coefficient in front of the cosine term. In this case, the coefficient is 1, so the amplitude is: $$\text{Amplitude} = |1| = 1$$ Show more…
Show all steps
Close
Your feedback will help us improve your experience
Donna Densmore and 83 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine the amplitude, the period, and the phase shift of the function and, without a graphing calculator, sketch the graph of the function by hand. Then check the graph using a graphing calculator. $$y=\cos \left(-\frac{1}{2} x\right)$$
The Trigonometric Functions
Graphs of Transformed Sine Functions and Cosine Functions
Determine the amplitude, the period, and the phase shift of the function and, without a graphing calculator, sketch the graph of the function by hand. Then check the graph using a graphing calculator. $$y=-\cos (-x)+2$$
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD