what is the rule for the reflection?\n$r_{y - axis}(x,y)\to(-x,y)$\n$r_{y - axis}(x,y)\to(x, - y)$\n$r_{x…

what is the rule for the reflection?\n$r_{y - axis}(x,y)\to(-x,y)$\n$r_{y - axis}(x,y)\to(x, - y)$\n$r_{x - axis}(x,y)\to(-x,y)$\n$r_{x - axis}(x,y)\to(x, - y)$

what is the rule for the reflection?\n$r_{y - axis}(x,y)\to(-x,y)$\n$r_{y - axis}(x,y)\to(x, - y)$\n$r_{x - axis}(x,y)\to(-x,y)$\n$r_{x - axis}(x,y)\to(x, - y)$

Answer

Explanation:

Step1: Recall reflection rules

Reflection over x - axis changes sign of y - coordinate. Reflection over y - axis changes sign of x - coordinate.

Step2: Observe the figure

The hexagon is reflected over the x - axis as the y - coordinates of corresponding points change sign while x - coordinates remain the same.

Answer:

D. $r_{x - axis}(x,y)\to(x, - y)$