Question

The coordinates of a point on a coordinate grid are (−3, 7). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are...
1. (−3, −7)
2. (3, −7)
3. (−3, 7)
4. (3, 7)

Answer 1

Answer:

"1. (−3, −7)"

Step-by-step explanation:

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:

(-3,-7)

Answer choice #1 is right.