NEW
Font size
S
M
L
XL
WorksheetsGraphing Trig Functions
Total questions: 12
Worksheet time: 3hrs 0mins
Name
Class
Date
1.
1. Find the phase shift of the graph of the function
y=2cos6(x+6π)
a)
π units right
b)
π units left
c)
6π units right
d)
6π units left
2.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
3.
Where does the graph of y=sin(x) begin its first cycle?
a)
(0,0)
b)
(1,0)
c)
(0,Pi)
d)
(1, Pi)
4.
5. Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
a)
y = 5cos(x - pi) + 3
b)
y = 3cos(x - pi) + 5
c)
y = 3cos(2x - pi) + 5
d)
y = 5cos(2x - pi) + 3
5.
6. What is the vertical shift for y = 4cos(1/2x +π) - 2?
a)
up 2
b)
left 2
c)
right 2
d)
down 2
6.
8. What is the period for y = 4cos(1/2x +π) - 2?
a)
pi/2
b)
pi
c)
3pi
d)
4pi
7.
10. What is the equation of the graph?
a)
y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x
8.
12. What is the vertical shift?
a)
Down 1
b)
Down 5
c)
Down 3
d)
Down 4
9.
15. What is the amplitude and period of the function: y= 2/5sin9x
a)
Amplitude: 2/5 Period: 2π/9
b)
Amplitude: 2/5 Period: π/6
c)
Amplitude: 5/2 Period: 2π/9
d)
Amplitude: 5/2 Period: π/6
10.
The vertical stretch of the graph; distance between the midline and the max/min.
a)
Period
b)
Cycle
c)
Axis of Oscillation
d)
Amplitude
11.
What is the range of the function y=3sinθ - 2
a)
[-1,1]
b)
(-∞,∞)
c)
[-5,1]
d)
[5,-1]
12.
What's the range of
y = -2 cos (5x) + 3?
a)
[1,5]
b)
[-5,-1]
c)
[-2,2]
d)
[-1,5]
e)
[-3,3]
Reset
