Suppose point P (4,−9) is translated according to the rule (x, y) → ( x+3, y−2). What are the coordinates of P′? Explain.

P'(7 , -11)

Step-by-step explanation:

what this tells us

(x,y) → ( x+3, y−2)

Is that the value of x of the new point is going to take (x + 3) with respect to the value of x of the other point.

Is that the value of y of the new point is going to take (y - 2) with respect to the value of y of the other point.

P (4,−9)

x = 4

y = -9

P'( x+3, y−2)

x + 3 =

4 + 3 = 7

y - 2 =

-9 - 2 = -11

P'(7 , -11)