Question

1. reflection across y - axis

rule: (x,y)→(−x,y)
r(-3,3)→r(
,
)
z(-5,3)→z(
,
)
x(-4,2)→x(
,
)

Explanation:

Step1: Apply reflection rule

For a reflection across the $y$-axis, the rule is $(x,y)\to(-x,y)$.

Step2: Find $R'$

Given $R(- 3,3)$, applying the rule: $(-3,3)\to R'(3,3)$.

Step3: Find $Z'$

Given $Z(-5,3)$, applying the rule: $(-5,3)\to Z'(5,3)$.

Step4: Find $X'$

Given $X(-4,2)$, applying the rule: $(-4,2)\to X'(4,2)$.

Answer:

$R'(3,3)$
$Z'(5,3)$
$X'(4,2)$