Question

m example 2 (continued) reflection in the x - or y - axis check the image matches the prediction. discussion question when a point is reflected over the y - axis, how can you find its coordinates?

Explanation:

When a point \((x,y)\) is reflected over the \(y\) - axis, the \(y\) - coordinate remains the same. The \(x\) - coordinate changes its sign. This is because the \(y\) - axis acts as a mirror. For example, if we have a point \(P(x,y)\), its reflection \(P'\) over the \(y\) - axis will have coordinates \((-x,y)\).

Answer:

If a point has coordinates \((x,y)\), its reflection over the \(y\) - axis has coordinates \((-x,y)\).