Match the function f with its graph Do not use a calculator

Match the function f with its graph. Do not use a calculator. a) y = 2 sin(1/2x) b) y = -sin(2x) c) y = 3 cos(pi x) d) y = 2 sin (x - pi/4) e) y = cos(x + pi/2) f) y = -3 cos(x)

Solution

y = 2sin(x/2) ---- Graph 3

y = -sin2x---- Graph 5

y = 3cos(pix) ---- Graph 6

y = 2sin(x - pi/4) ---- Graph 2

y = cos(x+pi/2) --- Graph 4

y = -3cosx --- Graph 1