Download Algebra II/Trig Honors Name: Chapter 10 Quiz Review Date : No

Algebra II/Trig Honors
Chapter 10 Quiz Review
Name: ________________________
Date :_________________________
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Determine whether the function shown is periodic or not periodic. If it is periodic, find the
period.
1.
2.
3. Identify the period for
and tell where two asymptotes occur for the function.
4. At what values will the asymptotes occur for the graph of y  3sec 4 x  1 ?
5. Determine whether the following periodic functions are even, odd, or neither.
a.
b.
c.
Graph at least one full period of each function. Then identify the amplitude, period, vertical shift
and phase shift for each graph.
6. y  5 cos  x  3
7. y  5  sin 3  12
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
8. y  1  2 sin 30  2
1

9. y  2  4 sin  x  
3
3
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
10. y  2  3 sin
1

x  
2
8
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
12. y  3  6 cos
1
  20
2
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
1


11. y  4  cos 4 x  
2
2

Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
1 3
13. y    cos 4  5
2 2
Period:____________
Amplitude: ________
Vertical Shift: ______
Phase Shift: ________
Write the equations of the follow graphs.
14.
15.
17.
18.
20.
16.
19.
21.
23. For a trigonometric function with the a maximum at A3,7 and a minimum at B1,3 ,
identify the central axis and the amplitude.