Question

Point A (-4,1) is translated to point A and then point A' is reflected across the x-axis to point A''(7,6). Describe the translation rule that mapped A to A'. Use the grid below.

Answer 1

Point A is at (-4,1) and is translated to point A'=(7,-6).

Next, A'=(7,-6) is reflected across the x-axis to a point A'(7,6).

We can draw these points as:

To get to the point (7,6), we need to translate point (-4,1) to (7,-6) (red point to blue point) since this last point is the reflection of (7,6) (green point) across x-axis.

This can be done by adding 11 steps to x-coordinate and -7 steps to y-coordinate.That is

$\begin{gathered} (-4,1)\Rightarrow(-4+11,1-7) \\ (-4,1)\Rightarrow(7,-6) \end{gathered}$

In resume, the translation rule that mapped A=(-4,1) to A'=(7,-6) is:

$(-4,1)\Rightarrow(-4+11,1-7)$