Question

Write the rule for finding a reflection of a point across the y-axis. Use this rule to find the coordinates for the reflection of point (?3, ?6) across the y-axis.

Answer 1

Answer:

The rule for finding a reflection of a point across the y-axis is that the y-coordinate will stay the same but the x-coordinate will become its opposite. Thus, in the context of the problem, point (3,6) would become (-3,6) if reflected across the y-axis.

Step-by-step explanation: If you were going to reflect a point across the x-axis, the x-coordinate would stay the same. You're not moving it and it shouldn't change signs. The y-coordinate, however, would become its opposite because it'd be joining a new quadrant. Think of it like this:

Y-AXIS = Y remains the same and gains a neighbor; X changes because it isn't the center of attention.

X-AXIS = X remains the same and gains a neighbor; Y changes because it isn't the center of attention.

Basically, the letter of the axis is the number that doesn't change.

I hope I helped!