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Fynjy0 [20]
1 year ago
12

Which coordinate pair represents the reflection of (-4, 6) across the x-axis?

Mathematics
2 answers:
bagirrra123 [75]1 year ago
5 0

Answer: C. (-4, -6)

Step-by-step explanation:

          To figure out what the coordinate pair of (-4, 6) reflected across the x-axis is, we will use (x, y) ➜ (x, −y). This means the sign (+ or -) of the x-coordinate will stay the same, but the y-coordinate will change.

(x, y) ➜ (x, −y)

(-4, 6) ➜ (-4, -6)

<em>See attached for a graph.</em>

konstantin123 [22]1 year ago
5 0

Hi, there!

There's an easy way to find the co-ordinates of a point that's been reflected over the x axis, when you know the original co-ordinates of the point. Pay attention:

What happens to a point when you reflect it around the x-axis?

                       

                                              \hfill\stackrel{(-4,6)}{\bullet}

_ < \!\!\rule{300}{0.8}\!_ >

                                             \hfill\stackrel{(-4,-6)}\bullet

So we notice that the x co-ordinate stayed the same, but the y co-ordinate didn't; did you notice that the y co-ordinate of the original point & the y co-ordinate of that point reflected, are <u><em>opposites</em></u>.

Hope the answer - and steps - made sense to you,

happy studying !!                                                                        \tiny\boldsymbol{Frozen \ melody}

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