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Graph Sin & Cos Quiz

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

What is the period for  y=2sinx3y=-2\sin\frac{x}{3}  

a)

2

b)

 x3\frac{x}{3}  

c)

 6π6\pi  

d)

 13\frac{1}{3}  

2.

What is the start for  y=cos(xπ4)y=\cos\left(x-\frac{\pi}{4}\right)  

a)

 π4\frac{\pi}{4}  

b)

0

c)

 2π2\pi  

d)

4

3.

What is the vertical shift for  y=sin2x+3y=\sin2x+3  

a)

down 3

b)

down2

c)

up 3

d)

down 3

4.

What is the critical value for y = sin2x+3


a)

2

b)

3

c)

π4\frac{\pi}{4}

d)

2π2\pi

5.

This graph has not shifted in any way. Is it sine or cosine?

a)

sine

b)

cosine

6.

Amplitude refers to....

a)

how high and low the function varies from the center line.

b)

the length of the function

c)

how often the function repeats

d)

how excited you are right now

7.

The period of a function is

a)

how long one cycle is before the function repeats

b)

how high and low the function goes from the center line

c)

the range of the function

d)

the length of time to finish this question

8.

Where is your first key point for  y = cos xy\ =\ \cos\ x  

a)

(0,-1)

b)

(1,0)

c)

(0,0)

d)

(0,1)

9.

Where is your first key point for  y=cos(xπ4)y=\cos\left(x-\frac{\pi}{4}\right)  

a)

0

b)

 π4\frac{\pi}{4}  

c)

 π4-\frac{\pi}{4}  

d)

 2π2\pi  

10.

Which way does the graph shift for  y = 2sin(x+π3)y\ =\ 2\sin\left(x+\frac{\pi}{3}\right)  

a)

left 2

b)

right π3\frac{\pi}{3}  

c)

left  π3\frac{\pi}{3}  

d)

no shift at all