John says the transformation rule (x, y) --> (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:
For this case we have the following transformation: (x, y) -> (x + 4, y + 7) The ordered pair to which the transformation is applied is: (x, y) = (4, 5) Therefore, applying the transformation we have: (4, 5) -> (4 + 4, 5 + 7) -----> (8, 12) The error for this case is that John made the following transformation: (4, 5) -> (4 - 4, 5 - 7) -----> (0, -2) That is, rest the numbers instead of adding. Answer: his error was subtract instead of adding. The correct answer is: (8, 12)