Sine Graph
What is the period of
y=2sin3x
(2pi)/3
What is the period of
y=2cos(x/2+pi)
4pi
What is the period of
y=2tan(3x-pi)
pi/3
What is the period of
y=3sec(4x-pi/3)
pi/2
The temperature of an oven in a laboratory rises until it reaches a temperature of 22°C. The oven then stops heating and reactivates only when the temperature goes down to 18°C. The rule that defines the temperature of the oven at time t, in minutes, is the following. What is the period and what does it mean in the context of the problem?
f(t)=2sinpit+20
2
The temperature starts at 20 degrees. Then it rises to 22 degrees. The oven stops heating. The temperature falls to 18 degrees. The oven reactivates. The temperature rises to 20 degrees. All of this happens in a 2 minute time period.
What is the DCV?
y=3sin(3x)+4
pi/6
What is the DCV?
y=1/2cos(x/4)+1
pi
What is the new left asymptote?
y=-2(tan2x-pi/4)
-pi/8
What is the new left asymptote?
y=3cot3x
0
A rodeo performer spins a lasso in a circle perpendicular to the ground. The height of the knot from the ground is modeled by
What is the highest point reached by the knot?
h=-3cos((5pi)/3t)+3.5
6.5
What is the phase shift?
y=-2(sin3x-pi/5)+5
pi/15
What is the phase shift?
y=3cos(2x+pi/7)
-pi/14
What is the new right asymptote?
y=-2tan(2x+pi/4)
pi/8
What is the midpoint of one cycle of
y=cotx
pi/2
A rodeo performer spins a lasso in a circle perpendicular to the ground. The height of the knot from the ground is modeled by
What is the lowest point reached by the knot?
h=-3cos((5pi)/3t)+3.5
.5
What is the acronym we use?
y=-2sinx
AmAMA
What is the acronym we use?
y=-cosx
mAMAm
What is the midpoint of one cycle?
y=-3tan(3x)+6
0
What is the equation for the new axis?
y=-2sec(3x)-2
y=-2
The number of hours of daylight in Boston is given by
h=3sin((2pi)/365-(158pi)/365)+12
What is the period and what does it mean in the context of the problem?
365 - 365 days in a year