How do I draw a graph for a progressive wave?

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To draw a graph for a progressive wave, displacement should be plotted on the y-axis and distance from the source on the x-axis. Understanding that all points on the wave share the same amplitude and period, while the phase varies with distance, is crucial. The equation for a progressive wave, typically in the form y(x, t) = A sin(kx - ωt), is essential for accurately representing the wave. It's recommended to refer to textbook or lecture notes for the specific equation relevant to the wave being studied. Mastering these concepts will facilitate a better understanding of wave behavior and graphing techniques.
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Hi I've been told to draw a graph for a progressive wave, using displacement on the y-axis, and distance from source of disturbance on the x-axis.

I have drawn one for displacement against time, but not sure how to do one for this.

I know that all the points on progressive waves have same amplitude and period of oscillation, but phase of oscillations varies as distance from source varies - but I don't really understand this.
 
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Do you have an equation for a progressive wave (also known as a traveling wave)? It seems that would be necessary in order to have been asked a question like this ... surely your textbook or lecture notes have the equation.
 

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