Transformation involves changing the location of a shape
The image of P after the transformation is: (-5,-2)
The vertices are given as:
[tex]\mathbf{P = (-8,6)}[/tex]
[tex]\mathbf{Q = (1,-3)}[/tex]
[tex]\mathbf{R = (-6,-3)}[/tex]
The rule of reflection across line y = 2 is:
[tex]\mathbf{(x,y) \to (x,4-y)}[/tex]
So, the image of P, after the reflection is:
[tex]\mathbf{P' = (-8,4-6)}[/tex]
[tex]\mathbf{P' = (-8,-2)}[/tex]
The rule of translation 3 units right is:
[tex]\mathbf{(x,y) \to (x + 3,y)}[/tex]
So, we have:
[tex]\mathbf{P" = (-8 + 3,-2)}[/tex]
[tex]\mathbf{P" = (-5,-2)}[/tex]
Hence, the image of P after the transformation is: (-5,-2)
Read more about transformations at:
https://brainly.com/question/13801312
