To determine the translated point and function, we need to establish how the original function \( y = f(x) \) is being translated.
Given that the original point is \( (1, 1) \) and we assume the translation is horizontal (which usually indicates a shift along the x-axis), we denote translations to the right as \( f(x - h) \) and translations to the left as \( f(x + h) \), where \( h \) is the amount of translation.
- If the function is translated to the right by 2 units (which would mean \( h = 2 \)), the new function would be \( y = f(x - 2) \).
- If the function is translated to the left by 2 units, the new function would be \( y = f(x + 2) \).
For the case of a right translation \( (h = 2) \):
- The translated point would be \( (1 + 2, 1) = (3, 1) \).
For the case of a left translation \( (h = -2) \):
- The translated point would be \( (1 - 2, 1) = (-1, 1) \).
Without additional visuals, it seems the most likely scenario is a translation to the right, resulting in the point moving from \( (1, 1) \) to \( (3, 1) \) with the function given by \( y = f(x - 2) \).
Thus, the correct response would be:
The point is located at (3,1), and the translated function is y=f(x−2).
Translated in a clearer format:
The point is located at (3, 1), and the translated function is \( y = f(x - 2) \).