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The equations have the same mathematical form:

S = A + V0 t - 1/2 g t^2

They are both quadratic equations in one variable (t here)

This equation expresses the distance traveled by an object in time t in the vertical direction  - it does not necessarily refer to a graph

In the other equation, y can be considered a vertical coordinate equation on a graph and x would be the horizontal coordinate

Note that in one equation 3 terms are necessary to describe the displacement of an object in one direction

In the other 2 terms in the x-direction describe the displacement in the other or y-direction