Question

1. reflection across the x - axis

m(0, -1), s(3, 2), q(5, -3)
m ( ) s ( ) q ( )

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the x - axis is $(x,-y)$.

Step2: Apply rule to point M

For $M(0, - 1)$, using the rule $(x,-y)$, we get $M'(0,1)$ since $x = 0$ and $y=-1$ so $-y = 1$.

Step3: Apply rule to point S

For $S(3,2)$, using the rule $(x,-y)$, we get $S'(3,-2)$ since $x = 3$ and $y = 2$ so $-y=-2$.

Step4: Apply rule to point Q

For $Q(5,-3)$, using the rule $(x,-y)$, we get $Q'(5,3)$ since $x = 5$ and $y=-3$ so $-y = 3$.

Answer:

$M'(0,1)$, $S'(3,-2)$, $Q'(5,3)$