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Amplitude/Vertical Shift

Match the graph to the function

1. y = cos x + 1

2. y = 1 – sin x

3. y = -1 + sin x

g. h.

4. y = 1 – cos x

Sketch one cycle for the graph of each function.

5. y = -3 + sin x

6. y = 3 – cos x

7. y = 4sinx + 2

8. y = -2cosx – 1

State the amplitude and vertical shift for each function.

9. y = 1 – 1/2 cosx 10. y = 3sinx + 2

Find the amplitude of the function and explain how the graph will be transformed compared to the parent

function of y = sinx.

11. y = 2sinx 12. y = 2/3 sinx

Graph one period of the function.

13. y = –0.5sinx 14. y = 4cosx

State the amplitude and write the equation of the function.

15. 16.