Question

show what you know! if the point ( p(4,-3) ) is reflected across the ( y )-axis, what will the coordinates of its image, ( p ), be? ( (-4,-3) ) ( (4,3) ) ( (4,-3) ) ( (-4,3) )

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to the given point

For the point \(P(4, - 3)\), here \(x = 4\) and \(y=-3\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 4\) into \(-x\). So \(-x=-4\) and \(y\) remains \(-3\).

Answer:

\((-4,-3)\)