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3 units right and 6 units up. determine where t would be if you transla…

Question

3 units right and 6 units up. determine where t would be if you translated t 3 units to the right and 6 units up. (8, -2) (2, -5) (5, 1) (-1, 1)

Explanation:

Step1: Identify the original coordinates of T

Assume the original coordinates of point T are \((x,y)\). From the graph (visual - inspection), if we assume the grid is standard and each square represents 1 unit, and by observing the position of T relative to the origin, we find that the original coordinates of T are \((2,- 5)\).

Step2: Apply the translation rule

The translation rule is 3 units to the right and 6 units up. For a translation \(a\) units to the right and \(b\) units up, the new coordinates \((x',y')\) of a point \((x,y)\) are given by \(x'=x + a\) and \(y'=y + b\). Here \(a = 3\) and \(b = 6\), \(x=2\) and \(y=-5\). So \(x'=2 + 3=5\) and \(y'=-5 + 6 = 1\).

Answer:

C. \((5,1)\)