Question

the point u(4, -1) is reflected over the x-axis. what are the coordinates of the resulting point, u?

Explanation:

Step1: Recall the reflection rule over the x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to the given point

For the point \(U(4,-1)\), here \(x = 4\) and \(y=-1\). Using the rule \((x,y)\to(x, - y)\), we substitute \(y=-1\) into \(-y\). So \(-y=-(-1) = 1\).

Answer:

The coordinates of the resulting point \(U'\) are \((4,1)\)