MAT 4A—A



Name: ______________________ Date: ______________________

PRACTICE: Sketching Trig Functions

Part A: For each of the following trigonometric equations:

( Write the amplitude, period, phase shift (horizontal translation) & vertical translation.

( Sketch the function accurately on the grid provided. Remember to label your scale.

( Check your sketch by plotting the equation using WinPlot.

1. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

2. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

3. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

4. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

5. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

6. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

7. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

8. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

9. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

10. [pic]

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

Part B: For each of the following trigonometric equations:

( Write the amplitude, period, phase shift (horizontal translation) & vertical translation.

( Write the equation of the function.

( Check your answer by plotting the equation using WinPlot.

1. Cosine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

2. Cosine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

3. Sine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

4. Sine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

5. Cosine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

6. Cosine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

7. Sine Function Equation: ________________________

Amplitude = _____

Period = _____

Phase Shift = _____

Vertical Trans. = _____

You can download WinPlot for free at home!



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