Question

Find the coordinates of the vertices of each figure after the given transformation
translation: 4 units right and 3 units down G(-6,2)

Answer 1

To perform the given translation on the point G(-6, 2), we will move the point 4 units to the right and 3 units down.

1. **Translation 4 units right**: To move a point to the right, we add the value of the translation to the x-coordinate:
\[
-6 + 4 = -2
\]

2. **Translation 3 units down**: To move a point down, we subtract the value of the translation from the y-coordinate:
\[
2 - 3 = -1
\]

Thus, after translating point G(-6, 2) 4 units to the right and 3 units down, the new coordinates of the vertex G are:
\[
G'(-2, -1)
\]

So, the coordinates of the vertex after the transformation are \( G'(-2, -1) \).