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LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and sketch one full cycle. PICK UP A NOTES PACKET FROM THE BACK!

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Page 1: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

1

February 02, 2016

Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and sketch one full cycle.

PICK UP A NOTES PACKET FROM THE BACK!

Page 2: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

2

February 02, 2016

Vetical & Horizontal Shifts

(i.e. f(x+c) & f(x)+d)

So what type of transformation should be we expect?

midline­

vertical shift­

horizontal shift­

Page 3: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

Graph one cycle of the following:

HINT: Start with y=3sin2x

Graph one cycle of the following:

HINT: Start with y=2sin½x

Page 4: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

Write the equation of the graph shown below:

Page 5: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

Page 6: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

Page 7: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

http://www.regentsprep.org/Regents/math/algtrig/ATT7/graphpractice3.htm

Page 8: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

Page 9: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

How do variations in a, b, period, and shifts effect the appearance of a

graph?How can we relate transformations to

variations in trig graphs?What real-life functions can be

modeled by trig graphs?

Homework: worksheet

Summary of graphing                                   &                                    :

> Amplitude => Frequency =

> Period =

> Horizontal Shift => Vertical Shift = 

Page 10: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

Exit Ticket

Grade:«grade»Subject:«subject»

Date:«date»

Page 11: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

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Page 12: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

LP3­Shifts.notebook

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February 02, 2016

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Page 13: Warm Upscasano.weebly.com/uploads/1/5/6/9/15694144/2.2-_apps.pdf · LP3Shifts.notebook 1 February 02, 2016 Warm Up: Determine the amplitude, frequency, and period of y =3cos5x and

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February 02, 2016

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