Triangle pqr has vertices p(–2, 6), q(–8, 4), and r(1, –2). it is translated according to the rule (x, y) → (x – 2, y – 16).

what is the y-value of p'?

the y-value of p' is

Translation (x,y) ⇒ (x-2, y-16) means the triangle PQR is translated two units to the left and sixteen units down. 

Each x-vertices will move two units left and y-vertices will move 16 units down

P(-2, 6) ⇒ (-2-2, 6-16) ⇒ (-4, -10)

Hence y-coordinate of the image of P is -10