| |
Math 2 Unit 2
Composite
Transformations
|
| A
Composite Transformation is a transformation that consists of more
than one step to the transformation. For example, translate an object
and then, do a second translation on the product, to again move the
object. Also, there can be a combination of two different transformations.
For example, translate the object and then perform a size transformation.
|
| Here
are the components to transform an object more than once:
|
| Translation:
(x,y)-->(x+a, y+b)
(x+a,y+b)--> (x+h,
y+k)
OR
(x,y)-->(x+a+h,
y+b+k) |
Original
Image |
1st
Translation |
2nd
Translation |
| Rotation:
(x,y)-->(-y,x)
(-y,x)-->(y,-x)
|
Original
Image |
1st
Rotation |
2nd
Rotation |
Reflection:
(x,y)-->(x,-y)
(x,-y)-->(-x,-y)
|
Original
Image |
1st
Reflection |
2nd
Reflection |
| Size
Transformation:
(x,y)-->(2x, 2y)
(2x,2y)--> (.25x,.25y)
OR
2x.25=.5
(x,y)-->(.5x,.5y) |
Original
Image |
1st
Size Transformation |
2nd
Size Transformation |
|
