Question
What is the image point of left parenthesis, 7, comma, 0, right parenthesis(7,0) after a translation right 2 units and up 1 unit?
Answers
GPT-4o mini
To find the image point of the point \((7, 0)\) after a translation of 2 units to the right and 1 unit up, we follow these steps:
1. **Translation right 2 units**: This means we add 2 to the x-coordinate.
\[
x' = 7 + 2 = 9
\]
2. **Translation up 1 unit**: This means we add 1 to the y-coordinate.
\[
y' = 0 + 1 = 1
\]
Therefore, the new coordinates after the translation are \((9, 1)\).
The image point after the translation is \((9, 1)\).
1. **Translation right 2 units**: This means we add 2 to the x-coordinate.
\[
x' = 7 + 2 = 9
\]
2. **Translation up 1 unit**: This means we add 1 to the y-coordinate.
\[
y' = 0 + 1 = 1
\]
Therefore, the new coordinates after the translation are \((9, 1)\).
The image point after the translation is \((9, 1)\).