Final answer:
The value of x would remain -5 after the translation t (x,y) unless the translation specifies a change to the x-coordinate, in which case the new x-value would be adjusted accordingly.
Step-by-step explanation:
If the translation t (x,y) maps point m (-5, 8), to determine the value of x, first we need clarification on the nature of the transformation. Typically, a translation involves shifting a point by a certain amount along the x and y axes.
However, without specifics about the translation, such as the vector by which point m is being translated, we can't accurately determine the new x-value.
If the translation t is simply a function that is applied to the x-coordinate, then the value of x would remain unchanged and be -5 after the translation. If the translation involves adding or subtracting a certain amount to the x-coordinate, then the new x-value would be the original x-value plus or minus that amount.