Exploring Trigonometric Function Transformations

What are the transformation factors needed to graph a trigonometric function?

• Amplitude, period, phase shift, and horizontal shift

• Amplitude, period, phase shift, and vertical shift

• Amplitude, frequency, phase shift, and horizontal shift

• Amplitude, period, frequency, and vertical shift

What does the amplitude of a trigonometric function represent?

• The distance between two identical points

• The distance from one peak to the central line

• The distance between two peaks

• The distance from the central line to the x-axis

How is the period of a trigonometric function related to the variable K?

• Period is equal to the absolute value of K divided by 2π

• Period is equal to 2π divided by the absolute value of K

• Period is equal to K divided by 2π

• Period is equal to 2π multiplied by K

What effect does increasing the variable D have on a trigonometric function?

• It raises the function vertically

• It shifts the function to the right

• It shifts the function to the left

• It lowers the function vertically

What is the phase shift of a trigonometric function equal to?

• Negative of the D value

• The absolute value of D

• Negative of the C value

• The absolute value of C

In the example provided, what is the amplitude of the red function?

• 4

• 0

• 2

• 1

What is the vertical shift (D value) of the red function in the example?

• -1

• 2

• -2

• 0

For the function 2sin(3(x+1)), what is the period?

• 2π/3

• 2π

• 3π

• π

For the function sin(2(x-1)), what is the phase shift?

• -1

• 1

• -2

• 2

For the function 2cos(3(x+1)), what is the vertical shift?

• 0

• 2

• 1

• -1