I'll help you get started. From the standard equation for the particle at x = 0 its motion would be:
y(t, x=0) = A sin(wt)
Now look at the graph on the right  the period of motion (the time it takes to complete one cycle) is T=0.45 seconds. Recall that T = 2 pi/w, so from that you can calculate the value for w. The value for A is the amplitude of the wave, which you can read off the yaxis of the right hand graph. So now all that's left is the value for k. Consider what happens at t=0; per the standard equation the left hand graph is y(x, t=0) = A sin(kx). Looking at the length of one cycle it appears to be 0.02 meters, hence when x = 0.02, kx = 2 pi. Thus k = 2 pi/0.02m.
