Question

1. coordinate a is located at (4, 9). what would the coordinate be if it reflected across the y - axis? (4, - 9) (9, 4) (- 4, 9) (- 4, - 9)

Explanation:

Step1: Recall the rule for reflection across the y - axis

When a point \((x,y)\) is reflected across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to the given point

For the point \(A=(4,9)\), here \(x = 4\) and \(y=9\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 4\) into \(-x\). So \(-x=-4\) and \(y\) remains \(9\).

Answer:

\((-4,9)\) (the third option)