Answer:
Explanation:
The function g(x) = (x - 12) represents a translation of the parent function y = x. In this case, the translation is a horizontal shift to the right by 12 units.
Here's how this translation works:
Parent Function (y = x):
The parent function y = x is a straight line that passes through the origin (0,0) and has a slope of 1. It is a diagonal line that goes through all points (x, x) on the coordinate plane.
Translating g(x) = (x - 12):
The expression (x - 12) inside the parentheses means that we are subtracting 12 from the input value x.
When we subtract 12 from x, it effectively shifts all the x-values to the right by 12 units.
So, the graph of g(x) = (x - 12) will be identical to the graph of the parent function y = x, but it will be shifted 12 units to the right along the x-axis. In other words, all points on the graph of g(x) will be 12 units to the right of the corresponding points on the graph of y = x.