Question

in the standard (x,y) coordinate plane, b(-3,2) will be reflected over the x-axis. what will be the coordinates of the image of b after the reflection?

Explanation:

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the \(x\) - axis is that the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. So, if we have a point \((x,y)\), after reflection over the \(x\) - axis, it becomes \((x, - y)\).

Step2: Apply the rule to point \(B(-3,2)\)

For the point \(B(-3,2)\), the \(x\) - coordinate is \(-3\) and the \(y\) - coordinate is \(2\). Using the reflection rule over the \(x\) - axis, the new \(x\) - coordinate will still be \(-3\), and the new \(y\) - coordinate will be \(-2\) (since we change the sign of the original \(y\) - coordinate). So the coordinates of the image of \(B\) after reflection are \((-3,-2)\).

Answer:

\((-3,-2)\)