Question
What is the image point of left parenthesis, minus, 4, comma, 8, right parenthesis(−4,8) after a translation left 2 units and down 1 unit?
Answers
GPT-4o mini
To find the image point of the point \((-4, 8)\) after a translation of left 2 units and down 1 unit, you can follow these steps:
1. **Translation Left 2 Units**: To translate left by 2 units, you subtract 2 from the x-coordinate:
\[
-4 - 2 = -6
\]
2. **Translation Down 1 Unit**: To translate down by 1 unit, you subtract 1 from the y-coordinate:
\[
8 - 1 = 7
\]
Now, combining both translations, the new coordinates of the image point are:
\[
(-6, 7)
\]
Therefore, the image point after the translation is \((-6, 7)\).
1. **Translation Left 2 Units**: To translate left by 2 units, you subtract 2 from the x-coordinate:
\[
-4 - 2 = -6
\]
2. **Translation Down 1 Unit**: To translate down by 1 unit, you subtract 1 from the y-coordinate:
\[
8 - 1 = 7
\]
Now, combining both translations, the new coordinates of the image point are:
\[
(-6, 7)
\]
Therefore, the image point after the translation is \((-6, 7)\).