Question

reflections find the coordinates
the point i(2, -1) is reflected over the y - axis. what are the coordinates of the resulting point, i?
options: i(-2, 1); i(-2, -1); i(2, -1); i(2, 1)

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 and 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 \(I(2,-1)\)

For the point \(I(2,-1)\), where \(x = 2\) and \(y=-1\). When we reflect it over the \(y\) - axis, the new \(x\) - coordinate is \(-x=-2\) and the \(y\) - coordinate remains \(y = - 1\). So the coordinates of \(I'\) are \((-2,-1)\).

Answer:

\(I'(-2,-1)\)