Need help asap! What will be the location of the x value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( 24, -13)

Question

asked Apr 9, 2023 177k views

1 Answer

Kristofor Carle · Answer 1 · 2023-04-15T12:21:33+0000

Point R' is located at (28, -20)

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Reason:

The translation rule is
$(\text{x},\text{y})\to (\text{x}+4,\text{y}-7)$

It says to add 4 to the x coordinate, and subtract 7 from the y coordinate.

If we apply the rule to point R(24, -13), then we have...

$(\text{x},\text{y})\to (\text{x}+4,\text{y}-7)\\\\(24,-13)\to (24+4,-13-7)\\\\(24,-13)\to (28,-20)\\\\$

This rule shifts the point 4 units to the right and 7 units down.