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c is the image of the point c after a reflection. c(-4, 4) → c(-4, -4) …

Question

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

Explanation:

Step1: Recall reflection rules

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

Step2: Analyze given points

The point $C(-4,4)$ is transformed to $C'(-4, - 4)$. Here, the $x - coordinate$ remains the same ($-4$), and the $y - coordinate$ changes its sign from $4$ to $-4$.

Answer:

A. $x$-axis