Assignment:
Describe the transformations required to obtain the graph of the given function from a basic trigonometric graph.
Q1. y=0.5 sin 3x
Q2. y= -2/3 cos x/3
Describe the transformations required to obtain the graph of y2 from the graph of y1.
Q3. y1=cos2x and y2=5/3cos 2x
Select the pair of functions that have identical graphs
Q4. a) y = cos x b) y= sin(x + pie/2) c) y = cos (x+pi/2)
Construct a sinusoid with the given amplitude and period that goes through the given point.
Q5. Amplitude 3, period pie, point (0,0)
Q6. State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation
y= -2 sin (x - pi/4) + 1
Provide complete and step by step solution for the question and show calculations and use formulas.