4. y = 3/4 sin x - Parkway Schools · 2011-05-11 · Set your window range to x min=0 x max =2π, y...

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1 Graphing the sine curve Set your window range to x min=0 x max =2 π, y min -10, y max = 10 Using your calculator draw a graph of each of the following equations. Compare each graph to the base graph y = sin x, and make a conjecture about the effect of multiplying a constant by the sin x. 1. y = 4 sin x 2. y = 6 sin x 3. y = 1/2 sin x 4. y = 3/4 sin x

Transcript of 4. y = 3/4 sin x - Parkway Schools · 2011-05-11 · Set your window range to x min=0 x max =2π, y...

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Graphing the sine curve

Set your window range to x min=0 x max =2π, y min -10, y max = 10Using your calculator draw a graph of each of the following equations. Compare each graph to the base graph y = sin x, and make a conjecture about the effect of multiplying a constant by the sin x.

1.  y = 4 sin x

2.  y = 6 sin x

3.  y = 1/2 sin x

4.  y = 3/4 sin x

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Graph the following, note the changes.

1.  y = ­4 sin x

2.  y = ­6sin x

3.  y = ­1/2 sin x

4.  y = ­3/4 sin x

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Change your window to x min = 0 x max = 10 y min = ­1 y max = 1

1.  y = sin 2x

2.  y = sin (πx)

3. y = sin (π/2x)

4. y = sin 10x

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Change your window range to x min = 0 x max = 2π y min = -10 y max = 10

1. y = sin x + 2

2. y = sinx + 5

3. y = sin x - 1

4. y = sin x - 6

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Testing your conjectures:

Sketch the following graphs without using your calculator:

1.  y = 1/2sinx

2.  y = sin (3x) + 2

3.  y = 4 sin(2x) + 1

4.  y = 2 sin (π/2x)

5.  y = sin(2πx)+1

6.  y = 2 sin (πx)+3

For the graphs stae the min, max, amplitude, period and midline

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4.  y = 2cos (π/2x)

5.  y = cos(2πx)+1

6.  y = 2 cos (πx)+3

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hw: p912 3­19 oddp 918 9­12, 22­24

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