Graph the image of S(-6, 1) after a translation 2 units right and 9 units down.
Understand the Problem
The question is asking us to graph the new coordinates of the point S after performing a translation of 2 units to the right and 9 units down from its original position at (-6, 1). We will determine the new coordinates by applying the translation to the original coordinates.
Answer
The new coordinates after translation are $(-4, -8)$.
Answer for screen readers
The new coordinates of point $S'$ after translation are $(-4, -8)$.
Steps to Solve
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Identify the original coordinates The original coordinates of point $S$ are given as $(-6, 1)$.
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Apply the translation To translate the point, we will add the translation values to the original coordinates.
- For moving right by 2 units, we add 2 to the x-coordinate: $$ x' = -6 + 2 = -4 $$
- For moving down by 9 units, we subtract 9 from the y-coordinate: $$ y' = 1 - 9 = -8 $$
- New coordinates The new coordinates of point $S'$ after the translation are $(-4, -8)$.
The new coordinates of point $S'$ after translation are $(-4, -8)$.
More Information
After translating point $S$ from the coordinates $(-6, 1)$, we find that it moves to $(-4, -8)$. The translation involves simple addition and subtraction based on the specified directions.
Tips
- Forgetting to subtract when moving downward; remember that downward motion involves a negative change in the y-coordinate.
- Not applying the correct operations for horizontal translation (adding for right, subtracting for left).
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