Question

1. (02.01 lc) which transformation represents a reflection over the x - axis? (1 point) \\(\bigcirc\\) \\((x,y)\to(-x,y)\\) \\(\bigcirc\\) \\((x,y)\to(x,-y)\\) \\(\bigcirc\\) \\((x,y)\to(y,x)\\) \\(\bigcirc\\) \\((x,y)\to(-x,-y)\\)

Explanation:

A reflection over the x-axis keeps the x-coordinate unchanged and negates the y-coordinate of each point. Among the options, only $(x,y) \to (x,-y)$ follows this rule.

Answer:

$\boldsymbol{(x,y) \to (x,-y)}$