Question
What is the image point of left parenthesis, 4, comma, 8, right parenthesis(4,8) after a translation right 1 unit and up 5 units
Answers
GPT-4o mini
To find the image point of the point \((4, 8)\) after a translation of 1 unit to the right and 5 units up, we can apply the translation directly to the coordinates.
1. **Translation right 1 unit**: This means we add 1 to the x-coordinate.
- New x-coordinate: \(4 + 1 = 5\)
2. **Translation up 5 units**: This means we add 5 to the y-coordinate.
- New y-coordinate: \(8 + 5 = 13\)
Now, we combine the new coordinates to form the image point:
\[
(5, 13)
\]
Thus, the image point after the translation is \((5, 13)\).
1. **Translation right 1 unit**: This means we add 1 to the x-coordinate.
- New x-coordinate: \(4 + 1 = 5\)
2. **Translation up 5 units**: This means we add 5 to the y-coordinate.
- New y-coordinate: \(8 + 5 = 13\)
Now, we combine the new coordinates to form the image point:
\[
(5, 13)
\]
Thus, the image point after the translation is \((5, 13)\).