To find the vertices of an image after reflecting over the x-axis, change the sign of the y-coordinate. For a reflection over the y-axis, change the sign of the x-coordinate. Apply these rules to each vertex of the original shape.
Let's say you have a triangle with vertices A(2, 3), B(4, 1), and C(1, 5). If you want to find the image of the triangle after a reflection over the x-axis, you apply the reflection rule to each vertex:
A'(2,−3)
B'(4,−1)
C'(1,−5)