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Answered

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

A. (4, -6)

B. (-4, 6)

C. (-4, -6)

D. (4, 6)



Answer :

Heather

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)

See attached for a graph.

View image Heather

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?

                       

                                              [tex]\hfill\stackrel{(-4,6)}{\bullet}[/tex]

[tex]_ < \!\!\rule{300}{0.8}\!_ >[/tex]

                                             [tex]\hfill\stackrel{(-4,-6)}\bullet[/tex]

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 opposites.

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

happy studying !!                                                                        [tex]\tiny\boldsymbol{Frozen \ melody}[/tex]