Horizontal translations occur when we add or subtract a value from the argument of a function. We can observe it more clearly in the table below.
Horizontal Translations
Translation right h units, h>0
y=f(x- h)
Translation left h units, h>0
y=f(x+ h)
In this case, we are asked to translate y=x-2 right by 1 unit. Therefore, we will need to subtract.
y=(x- 1)-2 ⇔ y=x-3
Now we have enough information to graph the transformed function.