Question

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f is the image of the point f after a reflection. f(-2, -8) → f(-2, 8) over which axis was point f reflected? x-axis y-axis

Explanation:

Step1: Recall reflection rules

Reflection over x - axis: \((x,y)\to(x, - y)\)
Reflection over y - axis: \((x,y)\to(-x,y)\)

Step2: Analyze the given points

Given \(F(-2,-8)\to F'(-2,8)\). Here, the x - coordinate remains the same (\(-2\) in both), and the y - coordinate changes from \(-8\) to \(8\) (which is \(-(-8)\)). This matches the rule for reflection over the x - axis \((x,y)\to(x, - y)\) (since \(y=-8\), \(-y = 8\)).

Answer:

x - axis