Question

f is the image of the point f after a reflection. f(-2, 10) → f(-2, -10) over which axis was point f reflected? x-axis y-axis

Explanation:

Step1: Recall reflection rules

Reflection over x - axis: If a point \((x,y)\) is reflected over the x - axis, the image is \((x, -y)\). Reflection over y - axis: If a point \((x,y)\) is reflected over the y - axis, the image is \((-x,y)\).

Step2: Analyze the given points

The original point \(F(-2,10)\) and its image \(F'(-2, - 10)\). Here, the x - coordinate remains the same (\(-2=-2\)) and the y - coordinate changes its sign (\(10\) becomes \(-10\)). This matches the rule for reflection over the x - axis.

Answer:

A. x - axis