Question

What is the rule for the
translation?

Answer 1

Horizontal translation 5 units: f(x-5)

Explanation:

g(x) = f(x-5)

original (x , y) -> translated (x+5 , y)

Answer 2

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.