This page presents multiple-choice questions on the graphs of trigonometric functions. The questions focus on identifying the period of a graph and matching graphs with their corresponding trigonometric equations. Answers are provided at the bottom of the page.
What is the period of the graph shown below?
a) \( \pi/3 \)
b) \( 5\pi/3 \)
c) \( 2\pi/3 \)
d) \( 2\pi \)
Which of the functions below represents the graph shown?
a) \( y = -\cos(2x) \)
b) \( y = \cos(2x) \)
c) \( y = -\cos(x) \)
d) \( y = \cos(x) \)
Which of the trigonometric functions corresponds to the graph shown below?
a) \( y = 2\sin(x/4) \)
b) \( y = 2\cos(4x) \)
c) \( y = 2\cos(x/4) \)
d) \( y = 2\sin(4x) \)
Which of the functions below corresponds to the given graph?
a) \( y = -\sin(2\pi x) \)
b) \( y = \sin(2\pi x) \)
c) \( y = \cos(2\pi x) \)
d) \( y = -\sin(x) \)
What is the period of the graph below?
a) 1
b) 2
c) \( \pi \)
d) \( 2\pi \)
Find an appropriate function for the following graph.
a) \( y = 0.5\cos(4\pi x) \)
b) \( y = 0.5\sin(x/4) \)
c) \( y = 0.5\sin(4x) \)
d) \( y = 0.5\cos(4x) \)
Which of the functions below corresponds to the given graph?
a) \( y = \sin(x/2 - 1/4) \)
b) \( y = \sin(\pi x/2 - \pi/4) \)
c) \( y = \cos(\pi x/2 - \pi/4) \)
d) \( y = \sin(\pi x/2) \)
What is the period of the graph below?
a) \( 5\pi/4 \)
b) \( \pi/4 \)
c) \( \pi \)
d) \( 2\pi \)