Question

1. point h is located at (-5, -4) on the coordinate plane. point h is reflected over the y - axis to create point h. what ordered pair describes the location of h? 17. point w is located at (6, -6) on the coordinate plane. point w is reflected over the x - axis to create point w. point w is then reflected over the y - axis to create point w. what ordered pair describes the location of w?

Explanation:

Step1: Recall y - axis reflection rule

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

Step2: Apply rule to point H

Given point $H(-5,-4)$, when reflected over the $y$-axis, $x=- 5$ changes sign and $y = - 4$ remains the same. So the new point $H'$ has coordinates $(5,-4)$.

Step3: Recall x - axis reflection rule

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

Step4: Apply x - axis reflection to point W

Point $W(6,-6)$ is reflected over the $x$-axis. So $x = 6$ remains the same and $y=-6$ changes sign, giving $W'(6,6)$.

Step5: Apply y - axis reflection to W'

When $W'(6,6)$ is reflected over the $y$-axis, $x = 6$ changes sign and $y = 6$ remains the same, resulting in $W''(-6,6)$.

Answer:

1. $(5,-4)$
2. $(-6,6)$