Question

what are the coordinates of the image of vertex r after a reflection across the y - axis? (-4,3) (4,-3) (-3,-4) (3,4)

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 point \(R(-3,4)\)

For the point \(R(-3,4)\), using the rule \((x,y)\to(-x,y)\), we substitute \(x=-3\) and \(y = 4\). Then \(-x=-(-3)=3\) and \(y = 4\) remains the same.

Answer:

\((3,4)\) (the fourth option)