Trig Graphs Review (MA)

Amplitude & Period

100

What is the amplitude of this function?

y=3sinx

The amplitude is:

3

200

What is the period of this function?

y=sin(2x)

The period is:

pi

300

Find the value of b for a tangent function with the following period:

4pi

the value of b is:

1/4

400

Use the following function to determine the amplitude and period:

y=-2cos(3x)

The amplitude is:

2

And the period is:

(2pi)/3

500

Use the following function to determine the amplitude and period:

y=tanx

There is no amplitude, and the period is:

pi

Vertical & Phase Shifts

100

Describe the shift(s) in the following:

y=4sin(x-pi)

Right 

pi

200

Describe the shift(s) in the following:

y=-8cos(x)+9

Up

9

300

Write the equation of sine with only the following transformations:

Right by:

pi/3

Down by:

2

y=sin(x-pi/3)-2

400

Write the equation of tangent with only the following transformations:

Left by:

(3pi)/4

Up by:

e

y=tan(x+(3pi)/4)+e

500

Explain how to determine the shifts in a given trig function

(Verbal Response)

adding or subtracting on the argument (inside) shifts left and right respectively

adding or subtracting to the function (outside) shifts up and down respectively

Vocab

100

Define Amplitude

(Verbal Response)

Half the distance between the top and bottom

200

Define Period

(Verbal Response)

The distance over which one full cycle of a wave takes place.

300

Define Reciprocal

(Verbal Response)

The "flipped" fraction of a value or function

400

Where would we find Asymptotes when graphing tangent?

(Verbal Response)

Input values where the cosine function outputs 0

500

State the midline equation for the following function:

y=6cot(x-96pi)-2

y=-2