Multiple choice questions on the properties of the graphs of trigonometric functions with answers at the bottom of the page.

Question What is the period of the graph shown below?
a) π/3
b) 5 π/3
c) 2 π/3
d) 2 π

Question Which of the functions below represents the graph below?
a) y =  cos(2x)
b) y = cos(2x)
c) y =  cos(x)
d) y = cos(x)

Question Which of the trigonometric functions correspond to the graph shown below?
a) 2 sin(x / 4)
b) 2 cos(4x)
c) 2 cos(x / 4)
d) 2 sin(4x)

Question Which of the functions below correspond to the given graph?
a) y =  sin(2πx)
b) y = sin(2πx)
c) y = cos(2πx)
d) y =  sin(x)

Question What is the period of the graph below?
a) 1
b) 2
c) π
d) 2 π

Question Find an appropriate function for the following graph:
a) y = 0.5 cos (4πx)
b) y = 0.5 sin (x/4)
c) y = 0.5 sin (4x)
d) y = 0.5 cos (4x)

Question Which of the functions below correspond to the given graph?
a) y = sin(x / 2  1/4)
b) y = sin(πx / 2  π/4)
c) y = cos(πx / 2  π/4)
d) y = sin(πx / 2)

Question What is the period of the graph below?
a) 5π/4
b) π/4
c) π
d) 2 π