Question

you just reflected points a, b, and c over the y - axis. look at the coordinates of the points you just reflected across the y - axis. what do you notice about the coordinates after the reflection? the points stayed the same and the changed the sign. original point a (7,8) b (-6,3) c (-3,-7) reflected point a (-7,8) b (6,3) c (3,-7)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the y - axis, the formula is $(-x,y)$.

Step2: Analyze given points

For point A$(7,8)$, after reflection across the y - axis, $x = 7$ changes to $- 7$ and $y = 8$ stays the same, giving $A'(-7,8)$. For point B$(-6,3)$, $x=-6$ changes to $6$ and $y = 3$ stays the same, giving $B'(6,3)$. For point C$(-3,-7)$, $x=-3$ changes to $3$ and $y=-7$ stays the same, giving $C'(3,-7)$.

Step3: State the observation

The y - coordinates of the original points and the reflected points are the same, and the x - coordinates change their signs.

Answer:

The y - coordinates stayed the same and the x - coordinates changed their signs.