Pre-Calculus Unit 4- 1st 9-weeks



Writing Equations Worksheet #1 Name _________________________

1) period _______ b_______

maximum ______________

minimum ______________

amplitude ______________

vertical slide ____________

phase shift (sine) ______________

sine equation ________________

phase shift (cosine)_____________

cosine equation ________________

2) period _______ b_______

maximum ______________

minimum ______________

amplitude ______________

vertical slide ____________

phase shift (sine) ______________

sine equation ________________

phase shift (cosine)_____________

cosine equation ________________

3) period _______ b_______

maximum ______________

minimum ______________

amplitude ______________

vertical slide ____________

phase shift (sine) ______________

sine equation ________________

phase shift (cosine)_____________

cosine equation ________________

4) period _______ b_______

maximum ______________

minimum ______________

amplitude ______________

vertical slide ____________

phase shift (sine) ______________

sine equation ________________

phase shift (cosine)_____________

cosine equation ________________

5) period _______ b_______

maximum ______________

minimum ______________

amplitude ______________

vertical slide ____________

phase shift (sine) ______________

sine equation ________________

phase shift (cosine)_____________

cosine equation ________________

6) period _______ b_______

maximum ______________

minimum ______________

amplitude ______________

vertical slide ____________

phase shift (sine) ______________

sine equation ________________

phase shift (cosine)_____________

cosine equation _______________

Writing Equations Worksheet #2

1) period _______ b_______

maximum ______ minimum _______

amplitude ______ vertical slide ______

phase shift (sine) ______________

sine equation ______________________

2) period _______ b_______

maximum ______ minimum _______

amplitude ______ vertical slide ______

phase shift (cosine) ______________

cosine equation ______________________

3) period _______ b_______

maximum ______ minimum _______

amplitude ______ vertical slide ______

phase shift (cosine) ______________

cosine equation ______________________

4) period _______ b_______

maximum ______ minimum _______

amplitude ______ vertical slide ______

phase shift (sine) ______________

sine equation ______________________

5) period _______ b_______

maximum ______ minimum _______

amplitude ______ vertical slide ______

phase shift (sine) ______________

sine equation ______________________

phase shift (cosine) ______________

cosine equation ______________________

6) period _______ b_______

maximum ______ minimum _______

amplitude ______ vertical slide ______

phase shift (sine) ______________

sine equation ______________________

phase shift (cosine) ______________

cosine equation ______________________

Graph each equation and fill in the blanks.

7) [pic] 8) [pic]

Domain: ______ Range: ____________ Domain: ______ Range: _____________

Amplitude: ________ Period: __________ Amplitude: _______ Period: _________

Phase shift: ________ Vertical slide: _______ Phase shift: _______ Vertical slide: ________

-----------------------

y

x

2ðpð

-ð3ðpð/ð2ð

-ðpð/ð2ð

pð

2ðpð

4ð

-ð3ð

-ð1ð

2ð

4ð

-ð2ðpð

pð/ð2π

−3π/2

−π/2

π

2π

4

−3

−1

2

4

−2π

π/2

−4

−2

3

−π

−4

−2π

1

3π/2

y

x

2π

−3π/2

−π/2

π

2π

4

−3

−1

2

4

−2π

π/2

−4

−2

3

−π

−4

−2π

1

3π/2

p. 11

p. 12

p. 13

p. 14

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