1-5
Period
-2cosx
2pi
Period
(5/2)*sin2x
pi
Phase shift
(3/2)cos(2/3)(x-pi/4)
Right
pi/4
Phase shift
2*sin(x+pi)
Left
pi
Amplitude
(5/2)*sin2x
5/2 or 2.5
Midline
-2cos2(x+(5pi)/4)+3
y=3
Amplitude
2*tan2(x-(3pi)/4)
There is none!
What is the formula for finding the periods of sin and cos trig functions?
(2pi)/absb
What is the formula for the amplitude of Sin and Cos?
f(x)=asinb(x-h)+k
f(x)=acosb(x-h)+k
absa
What is the formula for finding the period of tangent?
pi/absb
Amplitude
-3*sin(4/3)x
3
Period
-3/2tan(1/2)x
2pi
How has this parent trig function been altered?
-tanx
Flipped around the x-axis.
Vertical Shift
3*tan(1/3)(x-pi/2)-1
Down 1
List all alterations to the original parent function.
-cos(x+(5pi)/4)+3
Flip across x-axis, up 3, phase shift left
(5pi)/4