Algebra-2

Question Analysis
This problem tests the understanding of horizontal translation of the natural exponential function and the resulting change in key coordinates.

Key Concept Explanation
The standard form of the natural exponential function is , which passes through the key point . When the function is transformed to , it is horizontally translated to the right by 1 unit. The new coordinates of the key point can be found by adjusting the x-coordinate accordingly.

Step-by-step Solution
1. Start with the original key point: