Triangle xyz has coordinates x(2, 4), y(−3, 4), and z(−3, 1). if the triangle is translated using the rule (x, y) → (x − 2, y + 1), what are the coordinates of y'?

y'(–5, 5)
y'(0, 5)
y'(–5, 2)
y'(–1, 3

 The correct option is (A) Y'(-5, 5).

Step-by-step explanation:  Given that the triangle XYZ has coordinates X(2, 4), Y(−3, 4), and Z(−3, 1). The triangle is translated using the following rule :

(x, y)  →  (x − 2, y + 1).

We are to find the co-ordinates of Y'.

The co-ordinates of Y' can be found out by substituting (x, y) = (-3, 4) in the given transformation rule.

Therefore, the co-ordinates of Y' are given by

(-3, 4)  →  (-3 − 2, 4 + 1) = (-5, 5).

Thus, the co-ordinates of Y' are (-5, 5).

Option (A) is CORRECT.

it is a reproduction.

step-by-step explanation: