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MCF3ME Assignment 8 - Unit 4 Sinusoidal Functions 1. [6 marks] Complete the chart. Vertical shift Equation of Phase shift axis f(e) = sine -3 f(e) = sin (8 +40) f(@) = sin (0-90) +8 f(e) = sin(0+150)-6 2. [9 marks] Draw at least one cycle of each function. a) f(8) = sin (0-60) -270 -130 -90 90 180 270 360 450 X b) f (0) = sin(0) +1 -360 -270 -180 -90 180 270 360 Xc) f(0) = sin (0 +30)-0.5 24 -360 -270 -180 -90 X 90 180 270 360 3. [8 marks] For each graph, write the function for the graph using transformations of f (0) = sin 0. Also write the domain and range for the function. Restrict the domain to the graph shown, i.e. do not extend the domain to all real numbers. lated a) -180 -90 90 180 270 360 / 450 540 Function Domain Rangeb) 180 270 360 450 540 X -180 Function Domain Range 2. [12 marks] For each sinusoidal function, determine the characteristics listed, sketch the axis, and sketch at least two cycles of the function. One cycle of f (0) = sine is already sketched, in case you find it useful. a) f(0) = -sin(0 -300) -1.5 Amplitude Equation of axis 2 -180 -90 90 180 270 260 450 540 X