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QUESTION IMAGE

1. move 1: translate 3 units right. move 2: reflect over the x - axis.

Question

  1. move 1: translate 3 units right. move 2: reflect over the x - axis.

Explanation:

Step1: Apply translation rule

Let the original point be $(x,y)$. Translating 3 units right changes the $x$-coordinate. The new point after translation is $(x + 3,y)$.

Step2: Apply reflection rule

Reflecting the point $(x + 3,y)$ over the $x$-axis changes the sign of the $y$-coordinate. The final - point is $(x + 3,-y)$.

Answer:

The new coordinates of the point after the given transformations are obtained by first adding 3 to the $x$-coordinate of the original point and then changing the sign of the $y$-coordinate of the translated point.