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Midline of Sine Functions

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.

What is the midline?

a)

y = -7.3

b)

y = -7.35

c)

y = -3.65

d)

y = - 5.35

2.

The horizontal line in between the maximum and minimum points is called the ______________.

a)

midline

b)

horizontal line

c)

axis of symmetry

d)

middle

3.

What is the formula to find the equation of the midline?

a)

(max + min) / 2

b)

(max - min) / 2

c)

(min - max) / 2

d)

(max + max) / 2

4.

In the functions f(x)=Asin(Bx + C) + D, D represents what? (select all that apply)

a)

Amplitude

b)

Midline

c)

Phase Shift

d)

Vertical Translation

e)

Horizontal Translation

5.

The __________ represents half the distance between the max and min of a sine or cosine graph. 

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

6.

Which choices below best describes this graph?

(May be more than 1 correct choice)

a)

b)

c)

Midline of y = -1

d)

Amplitude of 3 units

7.

What are the Amplitude, Period and Midline of this sin graph?

a)

Amp = 3
Period =  2π2\pi  Midline  y = -1

b)

Amp = 3
Period =   π\pi  Midline y = 3

c)

Amp = 2
Period = 3π3\pi  
Midline  y = 0

d)

Amp = 2
Period = 2π2\pi  
Midline  y = 1

8.

Find the equation of the midline of the graph shown.

a)

y = 1

b)

y = 2

c)

y = 3

d)

y = 0