Question

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 1

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 opposites.

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

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

Answer 2

Answer: C. (-4, -6)

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.