Question

What are the coordinate points for
A
′
A
′
if
A
(
3
,

9
)
A(3, 9) after being translated right
3
3 and up
4
4 .



A
′
A
′

Answer 1

To find the new coordinates of point \( A' \) after translating the point \( A(3, 9) \) right by 3 units and up by 4 units, we can follow these steps:

1. **Starting coordinates**: \( A(3, 9) \)
2. **Translation right**: To translate right, we add to the \( x \)-coordinate. So,
\[
x' = 3 + 3 = 6
\]
3. **Translation up**: To translate up, we add to the \( y \)-coordinate. So,
\[
y' = 9 + 4 = 13
\]
4. **New coordinates**: Therefore, the new coordinates of point \( A' \) are \( (6, 13) \).

So, the coordinate points for \( A' \) are \( (6, 13) \).