Question

h is the image of the point h after a reflection.
h(-4, -9) → h(-4, 9)
over which axis was point h reflected?
x - axis y - axis

Explanation:

Step1: Analyze the reflection rules

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

Step2: Apply the rules to the given points

For the point \(H(-4,-9)\) and its image \(H'(-4,9)\), the \(x -\)coordinate remains the same (\(-4\)), and the \(y -\)coordinate changes from \(-9\) to \(9\) (i.e., \(y\) becomes \(-y\) where \(y=-9\), so \(-y = 9\)).

Answer:

x - axis