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"1. (−3, −7)"
If we have a point (x,y),
1. Reflection across x axis makes it (x, -y)
2. Reflection across y axis makes it (-x, y)
So we see x-axis reflection simply changes sign of y coordinate & y-axis reflection changes the sign of x coordinate (keeping x and y same, respectively).
Thus, the question asks to reflect (-3,7) about x-axis, so we change sign of y coordinate, 7 becomes -7. THus, the point becomes:
Answer choice #1 is right.
If the point is being flipped over the x-axis, multiply the y coordinate by -1, if the point is being flipped over the y-axis, multiply the x coordinate by -1.
The y-value changes sign when a point is reflected across the x-axis. The reflected point is (-3, -7).
The x coordinate would stay the same but the y-coordinate would be the opposite
Using that, we can do this:
(-3, 7) ⇒ (-3, -7)