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  1. mathschmidt.weebly.com › 4/6/6146296 › trig_amplitude_and_period_worksheet_keyMs. Schmidt's Classroom - Home

    Find an equation for a sine function that has amplitude of 5, a period of 3TT.

  2. Give the amplitude and period of each function. Then sketch the graph of the function over the interval 27t x 27t using the key points for each function. 14 y: 3 sin x Amplitude - Period 15. y : 2 cos x Ampl itude: Period: y : 4 cos Amplitude: Period: 16. y: 3 sin K 2Tt Amplitude : Period :

  3. Sinusoidal Functions Worksheet. For questions # 1-4 start with the parent function then complete the transformations given. Using transformations, graph two cycles of the following trigonometric functions. State the period, phase shift, amplitude, and vertical shift.

  4. amplitude and period to sketch graphs of y A sin k and y A cos k . State the amplitude and period for the function y 1 2 sin 4 . Then graph the function. Since A 1 2, the amplitude is 1 2 or 1 2. Since k 4, the period is 2 4 or 2. Use the basic shape of the sine function and the amplitude and period to graph the equation.

  5. Write an equation of the sine function with each amplitude, period, and phase shift. 7. amplitude = 0.75, period = 360°, phase shift = 30° y = 0.75 sin (0 - 30°) or y = =0.75 sin {_ - 30°)

  6. We can have all of them in one equation: y = A sin(B(x + C)) + D. amplitude is A; period is 2 π /B; phase shift is C (positive is to the left) vertical shift is D; And here is how it looks on a graph: Note that we are using radians here, not degrees, and there are 2 π radians in a full rotation.

  7. Frequency & Period Calculations. Directions: Solve the following problems. Show your work and include units. 1. A girl on a swing goes back and forth 23 times in 41 seconds. a. Determine her period. b. Determine her frequency.

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