Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

w is the image of the point w after a reflection. w(9, 8) → w(-9, 8) ov…

Question

w is the image of the point w after a reflection. w(9, 8) → w(-9, 8) over which axis was point w reflected? x - axis y - axis

Explanation:

Step1: Recall reflection rules

For reflection over \(x\)-axis: \((x,y)\to(x,-y)\). For reflection over \(y\)-axis: \((x,y)\to(-x,y)\).

Step2: Analyze given points

Given \(W(9,8)\to W'(-9,8)\). The \(x\)-coordinate changes sign (\(9\to - 9\)) and \(y\)-coordinate remains same (\(8\to8\)), which matches reflection over \(y\)-axis rule.

Answer:

y - axis