Explanation:
The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.
An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]
Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3
It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6
So,
[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]
Answer:
P' (- 3, - 6 )
Step-by-step explanation:
the translation
(x, y ) → (x + 6, y - 4 )
means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so
P (- 9, - 2 ) → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )