Transformation involves moving a shape away from its original position.
- The transformation sequence that maps p to q is translation, followed by reflection
- The transformation mapping is: [tex](x,y) \to (y,x-1)[/tex]
(a) Geometry vocabulary
From the graph (see attachment), we have the following observations
- Figure P was translated 1 unit left
- Then, it was reflected across [tex]y = x[/tex]
Hence, the transformation is translation, followed by reflection
(b) Transformation mapping
In (a), we noted the following transformations.
- Translate 1 unit to the left
- Reflection across line [tex]y = x[/tex]
The rule of translating a point to the left by 1 unit is:
[tex](x,y) \to (x - 1,y)[/tex]
The rule of refection across line [tex]y = x[/tex] is:
[tex](x,y) \to (y,x)[/tex]
So, we have:
[tex](x-1,y) \to (y,x-1)[/tex]
Hence, the transformation mapping is:
[tex](x,y) \to (y,x-1)[/tex]
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