Name Date Per Amplitude and Period for Sine and Cosine Functions Worksheet Determine the amplitude and period of each function. y sin 4x y cos 5x x y 3 cos 2x Give the amplitude and period of each function graphed below. Make sure your zero crossing are correct. y 2 sin 2x y - cos -3x Section 4. 4 Sine and Cosine Transformations Worksheet Describe the transformations required to obtain the trig function starting from the parent function. y 3 sin 6x 3 y -cos 2x 5 y y -3. 5 sin 2x - -1 10. y sin x 2 Sketch the graph of each function for one period. Use the graphs provided. 12. y cos 2x 1 13. y sin x 1 Find the equation given the information provided. 16. Find an equation for a sine function that has amplitude of 4 a period of 180 and a y-intercept of 3. Then write an equation of each graph. y 3 sin 11. Graphs provided* BE as accurate with your graphing as possible. Make sure your zero crossing are correct. y 2 sin 2x y - cos -3x Section 4. 4 Sine and Cosine Transformations Worksheet Desc....
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Filling out the amplitude and period worksheet online can seem daunting, but this guide will provide you with clear and concise instructions to navigate the process effectively. By understanding each section and component of the worksheet, you can accurately complete your calculations with confidence.
Follow the steps to complete the amplitude and period worksheet online.
- Click ‘Get Form’ button to obtain the worksheet and open it in an online editor.
- Begin by entering your name, date, and period at the top of the form for identification purposes.
- Review the first section which involves determining the amplitude and period for sine and cosine functions. For each function listed, analyze the equation to find the amplitude (the coefficient of the sine or cosine function) and the period (calculated using the formula 2π divided by the coefficient of x). Fill in your findings accordingly.
- Move on to the next section, where you will provide amplitude and period values based on the graphs provided. Be sure to accurately graph the functions over the specified interval, noting zero crossings and other important features.
- Continue to the transformation section, where you will identify the amplitude, period, frequency, phase shift, and vertical translation for each of the provided functions. Carefully describe the transformations required to obtain each trigonometric function based on the parent function.
- Complete the graphing section by sketching each function for one period as described. Use the provided graphs for accuracy during this step.
- Finally, for the last part, find the correct equations based on the amplitude, period, and y-intercept information given. Write down your derived equations in the spaces provided.
- Once all sections are completed, review your answers for accuracy. Save your changes, and you can choose to download, print, or share the completed form as needed.
Start completing your amplitude and period worksheet online today!
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