John says the transformation rule (x, y) Right-arrow (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?
Answers
Answer:
John's error is that he applied the transformation rule to the image instead to the pre-image.The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5). This results to (4, 5) + (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image.
hope it will help you
Error made by John is that he interchanged Pre image and Image coordinates
Given:
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2)
To Find:
Error
Solution:
- (x , y) Pre image
- (X , Y) Image
- Then Translation (x , y) → (x + h , y + k) where X = x + h , Y = y + k
(x , y) = (4 , 5)
(X , Y) = (0 , -2)
=> 0 = 4 + h
=> h = - 4
-2 = 5 + k
=> k = -7
Hence (X , Y) = (x - 4 ) , ( y - 7)
Error made by John is that he interchanged Pre image and Image coordinates
4 = 0 + h => h = 4
5 = - 2 + k => k = 7