Question

Find the image of the given point

Answer 1

Answer:   (-3, -6)

Explanation:

The notation $T(x, y) = (x+6, y-4)$ tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.

An equivalent notation would be to write $(x,y) \to (x+6, y-4)$

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,

$(x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)$

Answer 2

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 )