Question

f is the image of the point f after a reflection. f(5, -10)→f(-5, -10) over which axis was point f reflected? x - axis y - axis

Explanation:

Step1: Recall reflection rules

In a 2 - D coordinate system, when a point $(x,y)$ is reflected over the $x$-axis, the transformation is $(x,y)\to(x, - y)$. When reflected over the $y$-axis, the transformation is $(x,y)\to(-x,y)$.

Step2: Analyze given points

The original point is $F(5,-10)$ and the image is $F'(-5,-10)$. Here, the $y$-coordinate remains the same ($- 10$), and the $x$-coordinate changes sign from $5$ to $-5$.

Answer:

y - axis