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

determining a rule for a reflection\nwhat 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$r_{x - axis}(x,y)\to(x, - y)$

determining a rule for a reflection\nwhat 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

Answer:

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

Explanation:

Step1: Observe the transformation

Points above x - axis go below.

Step2: Recall reflection rules

Reflection over x - axis changes y - coordinate sign.

Step3: Confirm the rule

For any point $(x,y)$, reflection over x - axis gives $(x, - y)$.