Question

1. reflection across the x - axis

f(-5, -3), r(-3, 0), n(0, -1)
f ( ) r( ) n( )

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the x - axis, the rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to point F

For $F(-5,-3)$, using the rule $(x,y)\to(x, - y)$, we get $F'(-5,3)$.

Step3: Apply rule to point R

For $R(-3,0)$, using the rule $(x,y)\to(x, - y)$, we get $R'(-3,0)$ since $-0 = 0$.

Step4: Apply rule to point N

For $N(0,-1)$, using the rule $(x,y)\to(x, - y)$, we get $N'(0,1)$.

Answer:

$F'(-5,3)$, $R'(-3,0)$, $N'(0,1)$