Trig Graphs Quiz

Identify the amplitude of a sine graph.

• Distance from the midline to the highest or lowest point of the graph

• Distance from the x-axis to the highest or lowest point of the graph

• The number of complete cycles in the graph

• The rate of change of the graph

Identify the period of a cosine graph.

• period = 2π * b

• period = π / b

• period = 2π / b

• period = 2π / a

What is the phase shift of y = sin(x + π/2)?

• 3π/2

• π/4

• π/2

• 2π

Graph the function y = 2sin(x).

• Graph of y = 2sin(x) is a parabola.

• Graph of y = 2sin(x) is a hyperbola.

• Graph of y = 2sin(x) is a straight line.

• Graph of y = 2sin(x) is a sinusoidal wave with an amplitude of 2.

Identify the vertical shift of a tangent graph.

• The vertical shift of a tangent graph is determined by the period of the function.

• The vertical shift of a tangent graph is the value of d in the function y = a tan(bx + c) + d.

• The vertical shift of a tangent graph is equal to the amplitude.

• The vertical shift of a tangent graph is always zero.

What is the period of y = cos(2x)?

• π

• 3π

• 2π

• 4π

Identify the amplitude of a cosine graph.

• Frequency of the cosine function

• Average value of the cosine function

• Minimum value of the cosine function

• Peak value of the cosine function

Graph the function y = -3cos(x).

• Graph of y = -3cos(x) has an amplitude of 5

• Graph of y = -3cos(x) is a wave that oscillates between -3 and 3, with an amplitude of 3 and period of 2π.

• Graph of y = -3cos(x) has a period of π

• Graph of y = -3cos(x) is a straight line

What is the phase shift of y = tan(x - π/4)?

• -π/2

• π/4

• 3π/4

• -π/4

Identify the vertical shift of a sine graph.

• Value added or subtracted outside the sine function

• Value added or subtracted inside the sine function

• Value multiplied outside the sine function

• Value multiplied inside the sine function