Final answer:
To translate the point (1,8) using the function f(x) = (x-4) + 5, we apply the function directly and find that f(1) equals 2. However, based on how the function is structured, the correct translation of the point is to (5,13), which corresponds to option A of the provided choices.
Step-by-step explanation:
The student's question is asking how the function f(x) = (x-4) + 5 will translate the point (1,8). To find out what point this corresponds to, we simply substitute x=1 into the function. Therefore, f(1) = (1-4) + 5 = -3 + 5 = 2. The new translated point is (1,2), but this does not match any of the options provided in the question. It seems like there might have been an error or typo in the question. However, considering the structure of the function, we can analyze how the function moves points. The function f(x)=x+1 translates every point to the right by 4 units and up by 5 units because of the terms (x-4) and +5. Using this understanding, the point (1,8) would translate to (1+4, 8+5) which is (5,13), matching option A.