Question

write a general statement about how to determine the ordered pairs of the vertices of a figure if it is reflected across the y-axis.

Explanation:

When a figure is reflected across the \( y \)-axis, for any vertex with ordered pair \( (x, y) \), the new ordered pair after reflection is \( (-x, y) \). This is because reflection over the \( y \)-axis changes the sign of the \( x \)-coordinate while keeping the \( y \)-coordinate the same.

Answer:

To determine the ordered pairs of the vertices of a figure reflected across the \( y \)-axis, take each original vertex \((x, y)\) and change it to \((-x, y)\) (the \( y \)-coordinate remains the same, and the \( x \)-coordinate is negated).