What point is symmetric with respect to the y-axis to the point
?
Solution:-
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 point 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
X = 
If x = , than the opposite of x, -x, = –.
Therefore , the point symmetric to the point with respect to the y-axis is 