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1 consider the graph shown below. vw is a translation of vw. write the …

Question

1 consider the graph shown below. vw is a translation of vw. write the translation rule. (x, y)→(x+ , y+ ) a) (x - 6, y + 12) b) (x - 6, y - 12) c) (x + 6, y + 12) d) (x + 6, y - 12)

Explanation:

Step1: Analyze x - coordinate change

Observe the horizontal shift of a point. If we assume a point on $\overline{VW}$ and its corresponding point on $\overline{V'W'}$, we see that the x - coordinate of the new point is 6 units more than the original x - coordinate. So the change in x is $x
ightarrow x + 6$.

Step2: Analyze y - coordinate change

Observe the vertical shift of a point. The y - coordinate of the new point is 12 units more than the original y - coordinate. So the change in y is $y
ightarrow y+12$.

Answer:

C. (x + 6, y + 12)