Question

in the coordinate plane, the points (x(-3,6)), (y(5, - 9)), and (z(8,11)) are reflected over the (y)-axis to the points (x), (y), and (z) respectively. what are the coordinates of (x), (y), and (z)?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the $y -$axis, the new point is $(-x,y)$.

Step2: Find $X'$

For point $X(-3,6)$, applying the rule, $x=-3,y = 6$. So $X'=(3,6)$.

Step3: Find $Y'$

For point $Y(5,-9)$, with $x = 5,y=-9$, then $Y'=(-5,-9)$.

Step4: Find $Z'$

For point $Z(8,11)$, as $x = 8,y = 11$, we get $Z'=(-8,11)$.

Answer:

$X'(3,6)$
$Y'(-5,-9)$
$Z'(-8,11)$