Question

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

11
)
A(6, 11) after being translated right
2
2 and up
6
6 .

Answer 1

To find the new coordinates \( A' \) after translating the point \( A(6, 11) \) right 2 units and up 6 units, you can follow these steps:

1. **Translation to the right**: When a point is translated to the right, you add the distance to the x-coordinate. So, for translating right 2 units:
\[
x' = x + 2 = 6 + 2 = 8
\]

2. **Translation upwards**: When a point is translated upwards, you add the distance to the y-coordinate. So, for translating up 6 units:
\[
y' = y + 6 = 11 + 6 = 17
\]

Combining these changes gives the new coordinates:
\[
A'(x', y') = A'(8, 17)
\]

Therefore, the coordinates for \( A' \) after the translation are \( (8, 17) \).