Question

the point t(-3, 2) is reflected over the y-axis. what are the coordinates of the resulting point, t? \
(image of coordinate grid with point t at (-3,2))

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign, while the \(y\) - coordinate remains the same. Mathematically, if we have a point \(P(x,y)\), after reflection over the \(y\) - axis, the new point \(P'\) has coordinates \((-x,y)\).

Step2: Apply the rule to point \(T(-3,2)\)

For the point \(T(-3,2)\), the \(x\) - coordinate is \(-3\) and the \(y\) - coordinate is \(2\). When we reflect over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-(-3)=3\) and the \(y\) - coordinate remains \(2\). So the coordinates of \(T'\) are \((3,2)\).

Answer:

\((3,2)\)