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The implementation scheme for a causal LTI digital system with one input, x[n], and one output, y[n] is shown in Figure P3. In the figure, z−1 represents a unit sample delay and α is a scalar constant.

From the frequency response characteristics, H( f ), of the system, determine
whether it is a low-pass, high-pass, band-pass, band-stop, or all-pass filter.

I have sat up the two equations below. I dont know if the two equations are true:

L1 := Y(z) = V(z) + (-X(z) + V(z)/z);
L2 := V(z) = V(z)/z + a*(X(z) – V(z)/z);