Question

the point w(-2, 4) is reflected over the y-axis. what are the coordinates of the resulting point, w?

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(y\) - coordinate remains the same, and the \(x\) - coordinate changes its sign. Mathematically, if we have a point \((x,y)\), after reflection over the \(y\) - axis, the new point \((x',y')\) is given by \(x'=-x\) and \(y' = y\).

Step2: Apply the rule to point \(W(-2,4)\)

For the point \(W(-2,4)\), here \(x=-2\) and \(y = 4\). Using the reflection rule over the \(y\) - axis:

• The new \(x\) - coordinate \(x'=-(-2)=2\)
• The new \(y\) - coordinate \(y' = 4\) (since the \(y\) - coordinate remains unchanged during reflection over the \(y\) - axis)

Answer:

The coordinates of the resulting point \(W'\) are \((2,4)\)