1-5
6-10
11-15
100

Period

-2cosx

2pi

100

Period

(5/2)*sin2x

pi

100

Phase shift

(3/2)cos(2/3)(x-pi/4)

Right 

pi/4

200

Phase shift

2*sin(x+pi)

Left 

pi

200

Amplitude

(5/2)*sin2x

5/2 or 2.5

200

Midline

-2cos2(x+(5pi)/4)+3

y=3

300

Amplitude 

2*tan2(x-(3pi)/4)

There is none!

300

What is the formula for finding the periods of sin and cos trig functions?

(2pi)/absb

300

What is the formula for the amplitude of Sin and Cos?

f(x)=asinb(x-h)+k

f(x)=acosb(x-h)+k

absa

400

What is the formula for finding the period of tangent?

pi/absb

400

Amplitude

-3*sin(4/3)x

3

400

Period

-3/2tan(1/2)x

2pi

500

How has this parent trig function been altered?

-tanx

Flipped around the x-axis.

500

Vertical Shift

3*tan(1/3)(x-pi/2)-1

Down 1

500

List all alterations to the original parent function.

-cos(x+(5pi)/4)+3

Flip across x-axis, up 3, phase shift left 

(5pi)/4