  ### Home > MC2 > Chapter 3 > Lesson 3.1.5 > Problem3-52

3-52.

Where would the point $(11, -18)$ be after each transformation described below? Write an integer expression to find each new coordinate. .

1. Reflect $(11, -18)$ across the $x$-axis, then reflect that point across the $y$-axis.

What happens to a point once it is reflected across the $x$-axis? How about the y-axis?

When a point is reflected across the $x$-axis, the only difference is that the $y$-coordinate changes from negative to positive.

When a point is reflected across the $y$-axis, the only difference is that the $x$-coordinate changes from positive to negative.

2. Translate $(11, -18)$ $5$ units to the right and $3$ units down.

Moving to the right increases the $x$-coordinate.
Moving to the left decreases the $x$-coordinate.
Moving up increases the $y$-coordinate.
Moving down decreases the $y$-coordinate.

Explore the problem with the eTool below.
Click the link at right for the full version of the eTool: MC2 3-52 HW eTool