What are the coordinate points for

Question

𝐴
′
A
′
if
𝐴
(
3
,

9
)
A(3, 9) after being translated right
1
1 and up
6
6 .

Answer 1

To find the new coordinates \( A' \) after translating the point \( A(3, 9) \) right \( 1 \) unit and up \( 6 \) units, you can follow these steps:

1. Translation to the right: This will increase the x-coordinate by the number of units translated. So:

   \[ x' = x + 1 = 3 + 1 = 4 \]

2. Translation upward: This will increase the y-coordinate by the number of units translated. So:

   \[ y' = y + 6 = 9 + 6 = 15 \]

Combining these, the new coordinates \( A' \) will be:

\[ A' (4, 15) \]

Thus, the coordinate points for \( A' \) are \( (4, 15) \).