Definitions
Define vertical/horizontal shift.
When a graph is moved vertically or horizontally compared to its original position.
7pi/12 to degrees
105degrees
f(x) = 4sin(3x+90)-2
What is the amplitude?
4
What angle in quadrant 4 has an opposite of -1/2?
330 degrees
Define Amplitude
The distance between the midline and the max/min
OR
Half the distance between max and min.
5pi/18 to degrees
50 degrees
f(x) = 3sin(2x+45) - 5
What is the vertical shift?
- 5 or 5 down
What angle in quadrant 2 has an opposite of sqrt(3)/2?
120 degrees
Define Midline
The center line running horizontally of the sine/cosine graph
4pi/9 to degrees
80 degrees
f(x) = 2sin(3x) + 5
What is the period?
2pi/3 or 120 degrees
What angle in quadrant 3 has an adjacent side of
-sqrt(2)/2?
225
Define Period
The distance between the start of a cycle and its end.
75 degrees to radians
5pi/12
f(x) = 4sin(3x+90)-2
What is the horizontal shift?
90degrees to the left.
What angles have a sin of 1/2?
30 and 150
Define Frequency
The number of complete cycles in 360 degrees or 2pi radians.
220 degrees to radians
11pi/9
f(x) = 2sin(4x-pi/2)-3
Name 3 transformations.
Amplitude : 2
VS: 3 down
HS: pi/2 right
frequency: 4
What angles have a cosine of -sqrt(3)/2?