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reflect △abc across the x - axis by answering the questions below and p…

Question

reflect △abc across the x - axis by answering the questions below and plotting the necessary points.

  1. how many units away from the x - axis is point a?
  2. the image of a will be 2 units away from the x - axis along the vertical line x = - 4. plot a.
  3. how many units away from the x - axis is point b?

Explanation:

Step1: Determine distance of point A from x - axis

By observing the graph, point A is 2 units above the x - axis.

Step2: Reflect point A across x - axis

The rule for reflecting a point $(x,y)$ across the x - axis is $(x, - y)$. Since point A has coordinates $(-4,2)$ (from the vertical line $x = - 4$ and distance 2 units from x - axis), its image $A'$ has coordinates $(-4,-2)$.

Answer:

The coordinates of $A'$ are $(-4,-2)$ and point A is 2 units away from the x - axis.