Question

What is the image of left parenthesis, minus, 2, comma, 0, right parenthesis(−2,0) after a reflection over the x-axis?

Answer 1

To reflect the point \((-2, 0)\) over the x-axis, you change the sign of the y-coordinate.

The point \((-2, 0)\) has a y-coordinate of 0, so when we perform the reflection:

\[
(-2, 0) \rightarrow (-2, -0)
\]

Since \(-0\) is simply \(0\), the image of the point \((-2, 0)\) after reflection over the x-axis remains:

\[
(-2, 0)
\]

Therefore, the reflected point is \((-2, 0)\).