Question

graph the image of s(3,4) after a reflection over the y - axis.

Explanation:

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

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

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

For the point \(S(3,4)\) where \(x = 3\) and \(y=4\), using the rule \((x,y)\to(-x,y)\), we substitute \(x = 3\) into \(-x\). So, \(-x=-3\) and \(y = 4\) remains the same.

Answer:

The image of \(S(3,4)\) after reflection over the \(y\) - axis is \((-3,4)\). Plot the point \((-3,4)\) on the coordinate plane (3 units to the left of the \(y\) - axis and 4 units above the \(x\) - axis).