Understanding Graphs of Sine and Cosine Functions

What is a horizontal translation called in trigonometric functions?

• Frequency shift

• Amplitude shift

• Phase shift

• Vertical shift

In the generalized function y = A * sin(Bx - C), what does the parameter A represent?

• Amplitude

• Frequency

• Period

• Phase shift

How is the phase shift calculated in the function y = A * sin(Bx - C)?

• C / A

• A / B

• C / B

• B / C

What is the period of the function y = A * sin(Bx - C)?

• 2π / A

• 2π / B

• 2π / C

• 2π * B

To find the left endpoint of a one-cycle interval, which equation should be solved?

• Bx - C = 2π

• Bx - C = 0

• Bx + C = 2π

• Bx + C = 0

In the example problem, what is the amplitude of the sine function?

• 1

• 1/2

• 2

• 3

What is the phase shift of the sine function in the example problem?

• π/2 to the right

• π/2 to the left

• π/3 to the right

• π/3 to the left

In the cosine function example, what is the effect of adding a constant to the function?

• Shifts the graph horizontally

• Changes the period

• Changes the amplitude

• Shifts the graph vertically

What is the period of the cosine function in the example problem?

• 4π

• 2π

• π

• π/2

In the cosine function example, what is the phase shift direction?

• π/2 to the right

• π/4 to the right

• π/4 to the left

• π/2 to the left