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 reflection rule

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

Step2: Apply the rule to point \(R(-3,4)\)

Here \(x = - 3\) and \(y = 4\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-3\) into \(-x\). So \(-x=-(-3)=3\) and \(y = 4\) remains the same. The new coordinates are \((3,4)\).

Answer:

D. (3, 4)