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 thePeriod, 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 2Midline of y = -3An x axis rotationAnd has two waves

Question 10

Create an equation for a sin wave that has an amplitude of 4Midline of y = -1no x axis rotationAnd 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 Wheelb. What height is the rider after 9 minutes?

12. Horizontal shiftcreate 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 periodPeriod =

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 thePeriod = 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 belowY = -2 cos (1x) + 4

Question 9 key

Create an equation for a sin wave that has an amplitude of 2Midline of y = -3An x axis rotationAnd has two waves

y = - 2 sin (2x) - 3

Question 10 key

Create an equation for a sin wave that has an amplitude of 4Midline of y = -1no x axis rotationAnd has three waves

y = 4 sin(3x) - 1