Answer
The graph would be translated in the positive y-direction by $d$ units.
Work Step by Step
Note that $d \gt 0$.
If the equation $y = g(t)$ is replaced by $y = d+g(t)$, then each value of $y$ would be translated in the positive y-direction by $d$ units. Note that the x-values would remain unchanged.
Therefore, the graph would be translated in the positive y-direction by $d$ units.