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QUESTION IMAGE

if the triangle on the grid below is translated by using the rule ((x,y…

Question

if the triangle on the grid below is translated by using the rule ((x,y) \to (x - 2,y + 2)), what will be the coordinates of (a)?
(options: ((-4, 0)), ((0, 4)), ((0, 0)) and another option partially visible)

Explanation:

Step1: Find coordinates of A

From the grid, point A has coordinates \((-2, -2)\).

Step2: Apply translation rule

The translation rule is \((x, y) \to (x - 2, y + 2)\). Substitute \(x = -2\) and \(y = -2\) into the rule:
\(x' = -2 - 2 = -4\)
\(y' = -2 + 2 = 0\)

Answer:

\((-4, 0)\)