using the pencil, plot the reflection of point a across the y-axis.
using the pencil, plot the reflection of point a across the y-axis.
Answer
Answer:
The reflection of point ( A ) (which is at ( (6, 8) )) across the ( y )-axis is at ( (-6, 8) ). To plot it, find the point 6 units to the left of the ( y )-axis (since the original ( x )-coordinate is 6, the reflected ( x )-coordinate is ( -6 )) and at the same ( y )-coordinate (8).
Explanation:
Step1: Identify coordinates of ( A )
From the graph, point ( A ) is at ( (6, 8) ) (6 units right on ( x )-axis, 8 units up on ( y )-axis).
Step2: Apply reflection rule over ( y )-axis
The rule for reflecting a point ( (x, y) ) over the ( y )-axis is ( (x, y) \to (-x, y) ). So for ( (6, 8) ), the reflected point is ( (-6, 8) ).
Step3: Plot the reflected point
On the grid, move to ( x = -6 ) (6 units left of ( y )-axis) and ( y = 8 ) (same ( y )-level as ( A )) and mark the point.