Question

show what you know! a shape is reflected over the y - axis using the rule $(x,y)\to(-x,y)$. what happens to the coordinates of each point in the shape? the shape moves left or right without flipping the x - coordinates change sign, but the y - coordinates stay the same both the x - and y - coordinates change sign the y - coordinates change sign, but the x - coordinates stay the same

Explanation:

A reflection over the \(y\)-axis changes the sign of the \(x\)-coordinate. For example, if a point has coordinates \((x,y)\), after reflection over the \(y\)-axis, it becomes \((-x,y)\). This means the \(x\)-coordinate changes sign while the \(y\)-coordinate remains the same.

Answer:

The \(x\)-coordinates change sign, but the \(y\)-coordinates stay the same.