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m is the image of the point m after a reflection. m(-4, -3) → m(4, -3) …

Question

m is the image of the point m after a reflection. m(-4, -3) → m(4, -3) over which axis was point m 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

We have $M(-4,-3)$ and $M'(4,-3)$. The $y$-coordinate remains the same ($- 3$), and the $x$-coordinate changes sign ($-4$ becomes $4$). This follows the rule of reflection over the $y$-axis.

Answer:

$y$-axis