option 2, (x, y) --> (x + 3, y - 2) is the algebraic expression that shows how the translation affects the coordinates of the preimage.
Here, we are given that a figure is translated 3 units to the right and two units down.
Now, if the original coordinates of the figure are (x, y), as given in all the options, let us look at the effect of the transformation-
3 units right ⇒ the x coordinate will increase by 3 units
thus x becomes (x + 3)
2 units down ⇒ the y coordinate will decrease by 2 units
thus y becomes (y - 2)
Hence, the new coordinates of the figure become {(x + 3), (y - 2)}
Therefore, option 2, (x, y) --> (x + 3, y - 2) is the correct answer.
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A figure is translated 3 units to the right and down 2 units. Select the algebraic expression that shows how the translation affects the coordinates of the pre image.
1. (x, y) --> (x - 3, y + 2)
2. (x, y) --> (x + 3, y - 2)
3. (x, y) --> (x + 3, y - 2)
4. (x, y) --> (9x, 3y)