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