Worksheet 4,5,6A,6B,7,8,9,10

Worksheet -Graph Name:

1. Sketch one cycle of 𝑦 = 2𝑠𝑖𝑛 (2𝑥 − 𝜋

2 ) − 1

Period

Amplitude

Phase Shift

Vertical Shift

Domain

Range

Solve the inequality to find the 5-key points:

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End

2. Sketch one cycle of 𝑦 = 3𝑐𝑜𝑠 (2𝑥 + 𝜋

3 ) + 1

Period

Amplitude

Phase Shift

Vertical Shift

Domain

Range

Solve the inequality to find the 5-key points

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End

3. Sketch one cycle of 𝑦 = −2 − 𝑐𝑜𝑠(2𝑥 − 𝜋)

Period

Amplitude

Phase Shift

Vertical Shift

Domain

Range

Solve the inequality to find the 5-key points

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End

4. Sketch one period of the graph of 𝑦 = 1

2 𝑠𝑒𝑐 (3𝑥 −

𝜋

2 ) + 1

Find the formula for all VA. Find 3 VAs. Solve inequality for “Shifted Cycle”.

Period

Vert. Str/Comp

Phase Shift

Vertical Shift

Domain

Range

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End

5. Sketch one period of the graph of 𝑦 = 𝑐𝑠𝑐(2𝑥 − 𝜋) − 1

Find the formula for all VA. Find 3 VAs. Solve inequality for “Shifted Cycle”.

Period

Vert. Str/Comp

Phase Shift

Vertical Shift

Domain

Range

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End

6. Sketch one period of the graph of 𝑦 = 𝑡𝑎𝑛 ( 1

2 𝑥 −

𝜋

6 ) + 1

Find the formula for all VAs. Solve inequality for “Shifted Cycle”.

Period

Vert. Str/Comp

Phase Shift

Vertical Shift

Domain

Range

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End

7. Sketch one period of the graph of 𝑦 = 2𝑐𝑜𝑡 (𝑥 − 𝜋

4 ) − 1

Find the formula for all VA. Solve inequality for “Shifted Cycle”.

Period

Vert. Str/Comp

Phase Shift

Vertical Shift

Domain

Range

5 key points

x-values Expected y-values

Check (at least one)

Start

¼ pt

Midpt

¾ pt

End