What is the rule for the
translation?

Answer:
Horizontal translation 5 units: f(x-5)
Step-by-step explanation:
g(x) = f(x-5)
original (x , y) -> translated (x+5 , y)
Answer:
Step-by-step explanation:
This question is a bit unusual. Usually you translate across the x or y axis. This question does not.
Begin by drawing a vertical line parallel to the y axis.
The intercept point is (1/2,0) so the equation of the line is x = 1/2. x is 1/2 for every y value that is (1/2,y)
The rule is that ABC is translated horizontally across a line of x = 1/2
A' is 2 1/2 units to the right of x = 1/2
A is 2 1/2 units to the left of x = 1/2
The y axis is ignored.