Graphs of the Sine and Cosine Functions
Objectives:
The student will be able to:
Determine the amplitude, period, and phase shift of the graph of a sine or cosine function given an equation
Match a graph to its equation
Determine the amplitude, period, and phase shift of the graph of a sine or cosine function given a graph
Write the equation of the graph of a sine or cosine function given a written description or a graph
Examples:
Graph the function
on the interval
. What is the period? What is the midline? What is the amplitude? What is the phase shift?
Graph the function
on the interval
.
What is the period? What is the midline? What is the amplitude? What is the phase shift?
What is the amplitude of the graph of
?
.
What is the period of the graph of
?
For the graph of
what is the amplitude?
what is the period?
what is the phase shift?
The curve below is the graph of a sinusoidal function. It goes through th epoint (5, 2). Find a sinusoidal function that matches the given graph.
Vocabulary
period
amplitude
midline
phase shift
periodic graph
sinusoidal graph
Formulas:
© 2006 Elizabeth E. K. Jones and the ASU Department of Mathematics and Statistics - All rights reserved.