Question

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

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. The formula for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(U(4,-1)\)

For the point \(U(4,-1)\), the \(x\) - coordinate is \(4\), and the \(y\) - coordinate is \(-1\). Using the reflection rule over the \(x\) - axis, the new \(x\) - coordinate will still be \(4\), and the new \(y\) - coordinate will be \(-(-1)=1\). So the coordinates of \(U'\) are \((4,1)\).

Answer:

\((4,1)\)