Question

(Please help me!!) A polygon is shown on the graph:




If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answer 1

Answers:

• A ' = (-1, 1)
• B ' = (-1, -2)
• C ' = (3, -2)
• D ' = (3, 2)

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Explanation:

When we translate 4 units down, we're subtracting 4 from the y coordinate. Point A(-6,5) moves to (-6,1) after applying this translation.

Then we add 5 to the x coordinate because we're shifting 5 units to the right. This means (-6,1) moves to (-1,1) which is the location of point A'.

The other three points follow the same pattern: add 5 to the x coordinate, subtract 4 from the y coordinate.

The translation rule can be written as $(x,y) \to (x+5, y-4)$