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