Question

the point u(-3, -5) is reflected over the y-axis. what are the coordinates of the resulting point, u?

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to point \(U(-3,-5)\)

For the point \(U(-3,-5)\), here \(x = - 3\) and \(y=-5\). Using the reflection rule over the \(y\) - axis, we change the sign of \(x\). So the new \(x\) - coordinate is \(-(-3)=3\) and the \(y\) - coordinate remains \(-5\).

Answer:

The coordinates of the resulting point \(U'\) are \((3,-5)\)