For each, state the amplitude, period, phase shift and sketch the graph. 21. a) y 2 sin- 22. 23. b) y= y = cos(2x+2)+1 C) y=2cosx+5 State the equation of each sine function. a) amplitude of 3.5, period of 2 5 phase shift of b) The points (0) and (7.-1) are on the curve y = cos 0. State the new coordinates of these y = 3 cos (0-4)-1. points under the transformations given by y=3cos 0- 25. 26. 27. A pedal on a bicycle has an arm length of 20 cm and rotates about an axle 32 cm above the ground. If the pedal states at its lowest point and rotates at 20 revolutions every minute, find a sinusoidal function that will model the height h, in centimetres, of the pedal after 1 seconds. At what time during the first 5 seconds will the pedal be 40 cm above the ground? y=-20 cos(x)+32, = 0.946s,2.043s,3.924s Evaluate without a calculator: I a) log" b) log,625 27 Simplify: a) logas c) log, 32 d) log 0.001 e) log 25-log b) log c) 43g.x d) 3log 2x-5log.x+2log 2 e) (log 10)(loga +2 logb) 28. For each function: i) State the domain and range ii) sketch the graph iii) state the equation of its inverse a) y=-3--1 b) y=-2log, (x+1) c) y=1+log,(x-4)