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Use a graphing utility to graph the functions of the form
a.
b.
c.
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COLLEGE ALG.+TRIG.-LOOSELEAF
- Which graph below has an vertical shift of 2? O A. y=sin(x) + 2 B. Y=sin(x-2) C. y=2sin(x) O D. y=sin(7 (x))arrow_forward1. Describe the transformations of the sinusoidal function y = -3 cos[2(x + 45°)] – 3 compared to y = sin x 2. Give a real-life example of a periodic function (not sinusoid I). If you were to graph the function, what variables would be on the horizontal and vertical axes? Do not use any of the examples that are on the test. 3. Which of the variables a , k, d, c in the sinusoidal function f(x) = acos[k(x – d°)] +c affect the maximum and minimum values of the sinusoidal function. Justify your answer.arrow_forwarddetermine the d.e.arrow_forward
- Need ASAParrow_forwardFind a function of the form y= A sin(kx) + C or y = A cos(kx) + C whose graph matches this one: -11 -10 -9 -6 y = -4 -3 9 8 7 6 5 3 2 + + 2 3 4 5 6 7 -8 -9 (Leave your answer in exact form; if necessary, type pi for π.arrow_forwardEx. 953. Given a two-sided exponential function: peak value 2 volts and time constant 80.0 ms, evaluate the Fourier transform at f=0.8100 Hz. X bar (f) is a complex function: amplitude X(f) and angle part. ans:2arrow_forward
- (d) Use a phase shift to fit a function of the form A sin (Bt + C) + D to the data, where t is the month number. (e) Use DESMOS to draw a scatterplot of the data. Compare the graphs of your two functions to this plot. Do they appear to model the data accurately?arrow_forward1. Write an cosine equation and a sine equation for the function graphed below. Assume the graph has a minimum possible phase shift. ↑ →arrow_forward1. Consider the function = a cos[2(x-d)] +c a. Create your own equation by choosing a value for a, d, and c: b. Complete the following table: show all calculations Amplitude: Period: Maximum Value: Minimum Value: Describe Phase Shift: Equation of the Axis of the Curve Sketch a graph of the function for one cycle. You must show your work by either using the mapping rule or drawing intermediary graphs. Help: Darrow_forward
- Compare the phase shift and amplitude of y=-cos(x-180∘) and y=-2sin(x-90∘). Which of the following choices is the correct comparison? a The cosine function has a phase shift that is 12 that of the sine function and in the same direction; the amplitude of the cosine function is 2 times that of the sine function. b The cosine function has a phase shift that is 12 that of the sine function and in the opposite direction; the amplitude of the cosine function is 12 that of the sine function. c The cosine function has a phase shift that is 2 times larger than the phase shift of the sine function and in the same direction; the amplitude of the cosine function is 12 that of the sine function. d The cosine function has a phase shift that is 2 times larger than that of the sine function and in the opposite direction; the amplitude of the cosine function is 2 times that of the sine function.arrow_forwardThis problem is an example of critically damped harmonic motion. A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring feet. The ball is started in motion from the equilibrium position with a downward velocity of 5 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second). Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. Take as the gravitational acceleration 32 feet per second per second. (Note that the positive y direction is down in this problem.) y = learrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage