Question

question
point w is located at (-6, 4) on the coordinate plane. point w is reflected over the y - axis to create point w. point w is then reflected over the x - axis to create point w. what ordered pair describes the location of w?
answer attempt 1 out of 2
w (
,
)

Explanation:

Step1: Reflect over y - axis

To reflect a point \((x,y)\) over the \(y\) - axis, the transformation rule is \((x,y)\to(-x,y)\). Given the point \(W(-6,4)\), when we reflect it over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So, for \(W(-6,4)\), after reflection over the \(y\) - axis, the \(x\) - coordinate \(-6\) becomes \(-(-6)=6\) and the \(y\) - coordinate remains \(4\). So, \(W'=(6,4)\).

Step2: Reflect over x - axis

To reflect a point \((x,y)\) over the \(x\) - axis, the transformation rule is \((x,y)\to(x, - y)\). Now we have the point \(W'(6,4)\). When we reflect it over the \(x\) - axis, we change the sign of the \(y\) - coordinate. The \(x\) - coordinate \(6\) remains the same and the \(y\) - coordinate \(4\) becomes \(- 4\). So, \(W''=(6,-4)\).

Answer:

\((6, - 4)\)