Question

when point ( c(-2,5) ) is reflected across the ( y )-axis, which are the coordinates of the reflected point?
( (2,5) )
( (-5,2) )
( (2,-5) )
( (-2,-5) )

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to point \(C(-2,5)\)

Here \(x = - 2\) and \(y = 5\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-2\) into \(-x\). So \(-x=-(-2)=2\) and \(y = 5\) remains the same.

Answer:

\((2,5)\)