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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 + 5,y - 2)), what will be the coordinates of (b)?
options: ((-2,0)), ((5,-2)), ((5,-7)), ((0,-2))

Explanation:

Step1: Identify coordinates of B

From the grid, $B = (-5, 0)$

Step2: Apply translation rule

Use $(x,y)\to(x+5,y-2)$:
New $x$-coordinate: $-5 + 5 = 0$
New $y$-coordinate: $0 - 2 = -2$

Answer:

D. (0, -2)