Graphing Sine and Cosine Functions Assignment
The graph models a weight bobbing up and down on a spring. How far does the weight travel, going from maximum displacement to minimum displacement?
4 inches
A group of students uses a rope swing to cross back and forth over a stream. The motion of the students is modeled using a cosine function. What is the amplitude of the function?
8 feet
Which of the following statements are true? Check all that apply.
A. The amplitude is 1/2 D. The graph is compressed horizontally by a factor of 1/2 E. The equation of the graph is Y=1/2 sin(2x)
The function represented by the table has the form y=acos(bx). Which of the following statements are true? Check all that apply.
A. The function increases on the interval (pi, 2pi) C. The frequency is 1/2pi D. The maximum value of the function is 6
Consider the following function: Y=1/4 cos(-1/4 x) Which of the following statements are true? Check all that apply.
A. The graph is symmetric to the y-axis. B. The function decreases on the interval (0, 4pi) E. The graph has x-intercepts at x=2pi and x=6pi
Which graph represents the equation Y=3sin(1/3 x)?
B
Which of the following statements are true? Check all that apply.
B. The graph is stretched vertically by a factor of 5 D. The graph is stretched horizontally by a factor of 2 E. The period is 4pi
Which graph represents a function with amplitude 4 and period pi?
D.
Which domain window settings would be appropriate if you wanted to graph the function below in degrees for exactly 3 periods? Y=4sin(3x)
Xmin=-90 Xmax=270
A cosine function has been reflected over the x-axis and horizontally compressed by a factor of 1/3. Which equation matches this description?
Y=-cos(3x)