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Graphing Sine and Cosine Functions

A Grade 9 worksheet on graphing sine and cosine functions, including identifying amplitude, period, phase shift, and vertical shift.

Grade 9 Math TrigonometryGraphing Sine and Cosine
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False2 Custom

Standards

CCSS.MATH.CONTENT.HSF.TF.B.5

Topics

mathtrigonometrygraphingsinecosinegrade 9
8 sections · Free to use · Printable
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Graphing Sine and Cosine Functions

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Date:

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Read each question carefully and follow the instructions to graph the trigonometric functions or identify their properties.

1. What is the amplitude of the function y = 3sin(2x - π) + 1?

a

1

b

2

c

3

d

π

1. The period of the function y = cos(4x) is  .

2. The vertical shift of the function y = sin(x) - 5 is  .

1. Describe how the graph of y = -2cos(x) differs from the graph of y = cos(x).

1. The phase shift of y = sin(x + π/2) is π/2 units to the right.

T

True

F

False

1. Graph one full period of the function y = 2sin(x) on the coordinate plane below.

-4-3-2-11234-4-3-2-11234

2. Graph one full period of the function y = cos(x - π/2) - 1 on the coordinate plane below.

-4-3-2-11234-4-3-2-11234