What point is symmetric with respect to the y-axis to the point ?
Recall for any point (x, y) the point symmetric about the y-axis to (x, y) is the point (-x , y).
If two point are symmetric about the y-axis, then the points have the same y-coordinate and opposite x-coordinates. Replace the x-coordinate of the given point with its opposite.
Identify the x-coordinate of the given point, .
If x = ,then the opposite of x, -x = –
Therefore , the point symmetric to the point with respect to the y-axis is .