MATH SOLVE

2 months ago

Q:
# John says the transformation rule (x, y) es002-1.jpg (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, ???2). What was his error?

Accepted Solution

A:

We are given transformation rule (x, y) --> (x + 4, y + 7).The coordinate of the pre-image is (4,5).The coordinate of the transformed image is (0,-2).Please see, if we apply (x, y) --> (x + 4, y + 7) rule.(4,5) coordinate would become (4 +4 , 5+7 ) = (8,12).But we need (0,-2) instead of (8,12).Let us reverse operation in the given rule and check.Let us change (x + 4, y + 7) to (x-4, y-7) and now check.(4,5) coordinate would become (4-4 , 5-7) = (0,-2).So, we got exact coordinate of the transformed image.Therefore, error was (x, y) --> (x + 4, y + 7) rule should be (x, y) --> (x - 4, y - 7) rule.