Question

the point h(9, 2) is reflected over the y - axis. what are the coordinates of the resulting point, h?

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 \(H(9,2)\)

For the point \(H(9,2)\), where \(x = 9\) and \(y=2\). When we reflect it over the \(y\) - axis, the \(x\) - coordinate becomes \(- 9\) and the \(y\) - coordinate remains \(2\). So the coordinates of \(H'\) are \((-9,2)\).

Answer:

\((-9,2)\)