A continuous transverse wave travels in the positive \(x\)-direction along a stretched string with a speed of \(v = 2.0 \text{ m/s}\). The graph shows the vertical displacement \(y\) of a particle located at position \(x = 0 \text{ m}\) as a function of time \(t\). What is the frequency of the wave, and which description correctly characterizes the graph of displacement \(y\) versus position \(x\) for the string at time \(t = 0 \text{ s}\)?