Vocabulary
Equations
Wildcard
Name that Graph
Solving Things
100
The distance from the midline to the maximum or minimum is called....
Amplitude
100
What is the value of the frequency in this equation?
y=6(9x-π)+4
9
The frequency always comes before the variable x
100
37+89 =
126
100
What trig graph is this?
y=cos(x)
Cosine Graph
100
Given these two points, find the midline:
( π /2, 13) and (3 π /2, -3)
y=8
200
What are the two words that represents the letter c in this equation: y=acos(bx+d)-c ?
Midline and Vertical Shift
200
Which direction (left or right) is this graph shifted?
y=-4cos(x+12)-8
To the left
+d = shifted to the left
-d = shifted to the right
200
What is the equation for the circumference of a circle?
2(pi)(r)
200
What trig graph is this?
y=tan(x)
Tangent graph
200
Where does this graph pass through the y-axis?
y=cos(3x)+2
2
300
What do we call the shift of our graph along the x-axis?
Phase Shift
300
Given the following pieces of information, write the equation:
sine function
amplitude = 4
frequency = 8
midline = -5
phase shift = π /2 to the right
y=4sin(8x- π /2)-5
300
What are two other ways to rewrite tan(x)?
sin(x)/cos(x) and 1/cot(x)
300
Which reciprocal trig graph is this?
y=csc(x)
Cosecant Graph
300
Given this function, find the period:
y=5.5cos(10x-6)+4
(2 π/10) = π/5
400
What can we find using the equation 2π/frequency?
The Period
400
Given this equation, determine the maximum and minimum y-values:
y=8sin(x-4)-7
Maximum y-value = 1
Minimum y-value = -15
(midline + amplitude) AND (midline - amplitude)
400
What was the animal that was in the word problem on the last homework?
(no looking back!!!)
Hamster
400
Which inverse trig graph is this?
y=cos-1(x) [we can also write it] y=arccos(x)
Arccosine / Inverse Cosine
400
Which step is there a mistake?
Given this graph, find the following information
1) Midline: 4
2) Frequency: 2
3) Amplitude: 2
4) y=2cos(2x)+4
Not a cosine graph!!
Correct graph: y=2sin(2x)+4
500
A line that a graph approaches but never touches is called...
Asymptote
500
Rewrite this equation using cosine, making sure it is in the same position as the original graph:
y= π sin(16x)-5
y= π cos(16x- π /2)-5
OR
y= π cos(16x+3 π /2)-5
500
Solve:
sin(0o)+cos(0o)+tan(0o) =
1
500
What graph is this?
y=tan-1(x) [we can also write it] y=arctan(x)
Inverse Tangent Graph
500
Create the sine equation given this information:
The midline is two times the amplitude.
The amplitude is five less than the phase shift.
The phase shift (to the left) is half of the frequency.
The frequency is 2.
y=-5sin(2x+1)-10
Frequency = 2
phase shift = 1
amplitude=-5
midline = -10