Practice for tomorrow’s test
(solutions included)
Question 1
Graph y = 4sin (3x)+ 2
and state the amplitude, period, and midline
Question 2
What has changed between the two graphs
below?
Question 3
Graph y = sin(4x)
and state the period
Question 4
Graph y = - 3 cos x
and state the amplitude
Question 5
Graph y = 5 sin x – 2 and state the range
Question 6
Graph y = -3 cos (4x) + 1 and state the
Period, amplitude, and range
Question 7
What is the equation for the graph below
Question 8
What is the equation for the graph below
Question 9
Create an equation for a sin wave that has an
amplitude of 2
Midline of y = -3
An x axis rotation
And has two waves
Question 10
Create an equation for a sin wave that has an
amplitude of 4
Midline of y = -1
no x axis rotation
And has three waves
11. Ferris wheel question
Write an equation for a Ferris wheel that you
board at the ground, ride for 21 minutes, and
during that time complete 3 full revolutions.
The maximum height that you reach is 130 feet.
a. Write an equation to model this Ferris Wheel
b. What height is the rider after 9 minutes?
12. Horizontal shift
create both and sin and cos wave for
the following
Question 1 KEY
Graph y = 4sin (3x)+ 2
and state the amplitude, period, and midline
A: 4, P: 2pi/3, y = 2
Question 2 key
What has changed between the two graphs
below? AMPLITUDE has changed
Question 3 key
Graph y = sin(4x) and state the period
Period =
2𝜋
𝑏
=
𝜋
2
Question 4 key
Graph y = - 3 cos x and state the amplitude
Amplitude: 3
Question 5 key
Graph y = 5 sin x – 2 and state the range
Range [-7,3]
Question 6 key
Graph y = -3 cos (4x) + 1 and state the
Period = 3 pi / 4
Amplitude = 3 , and range = [-2,4]
Question 7 key
What is the equation for the graph below
y = 3 sin (2x) - 1
Question 8 key
What is the equation for the graph below
Y = -2 cos (1x) + 4
Question 9 key
Create an equation for a sin wave that has an
amplitude of 2
Midline of y = -3
An x axis rotation
And has two waves
y = - 2 sin (2x) - 3
Question 10 key
Create an equation for a sin wave that has an
amplitude of 4
Midline of y = -1
no x axis rotation
And has three waves
y = 4 sin(3x) - 1