QUESTION IMAGE
Question
reflect △abc across the x - axis by answering the questions below and plotting the necessary points.
- how many units away from the x - axis is point a?
- the image of a will be 2 units away from the x - axis along the vertical line x = - 4. plot a.
- how many units away from the x - axis is point b?
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 $(-4,-2)$.
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The coordinates of $A'$ are $(-4,-2)$ and point A is 2 units away from the x - axis.