Question

What are the coordinate points for
A
′
A
′
if
A
(
6
,

7
)
A(6, 7) after being translated left
1
1 and down
4
4 .

Answer 1

To find the coordinates of point \( A' \) after translating point \( A(6, 7) \) left by 1 and down by 4, you can follow these steps:

1. **Translate Left by 1**: When you translate a point left, you subtract from the x-coordinate.
\[
x' = x - 1 = 6 - 1 = 5
\]

2. **Translate Down by 4**: When you translate a point downwards, you subtract from the y-coordinate.
\[
y' = y - 4 = 7 - 4 = 3
\]

Combining these results, the new coordinates for point \( A' \) are:
\[
A'(5, 3)
\]

So, the final coordinates for \( A' \) after the translation are \( (5, 3) \).