To translate △ PNB two units right, we have to add 2 to each x-coordinate.
(x,y) → (x +2,y)
Let's do this for the three vertices.
(x,y)
(x +2,y)
(x',y')
P(2, 2)
( 2 +2, 2)
P'(4, 2)
N(3,-1)
( 3 +2,-1)
N'(5,-1)
B(- 1,- 2)
(-1 +2,- 2)
B'(1,-2)
With these points, we are able to draw the transformed image as △ P'N'B'.
Reflection
To complete the reflection, we have to reflect all the vertices of △ P'N'B' on the opposite side of the line y=3. The distance from the vertices to the line y=3 must remain the same. We will call the reflected image △ P''N''B''.
Final Glide Reflection
The final glide reflection is the combination of the translation and the reflection.
