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What is your best guess as to how the given function

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Presentation on theme: "What is your best guess as to how the given function "— Presentation transcript:

1 What is your best guess as to how the given function 𝑦=3 sin 1 2 (𝜃 − 𝜋 2 )+2 is changed from 𝑦=3 sin 1 2 𝜃 ? What about 𝑦=3 sin 1 2 (𝜃 − 𝜋 2 )+2 is exactly the same as 𝑦=3 sin 1 2 𝜃 ?

2 12-8 Translations of Trig Graphs
Graph horizontal translations of trigonometric graphs and find phase shifts. Graph vertical translations of trigonometric graphs.

3 Translation: when a figure is moved from one location to another on the coordinate plane without changing its orientation. Phase shift: a horizontal translation for periodic functions.

4 State the amplitude, period, and phase shift for the function
State the amplitude, period, and phase shift for the function. Then graph the function.

5

6 State the amplitude, period and vertical shift of the midline for the function.

7 for sin and cos

8 https://youtu.be/U3D2gc_dOgI
for tan and cot for csc and sec

9 State the amplitude, period, phase shift, and vertical shift
State the amplitude, period, phase shift, and vertical shift. Then graph.

10 State the amplitude, period, phase shift, and vertical shift
State the amplitude, period, phase shift, and vertical shift. Then graph.


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