Composite Transformations 

Composite transformations refer to the combination of two or more basic transformations (such as translation, rotation, and scaling) to produce a more complex transformation in computer graphics.

In general, composite transformations are performed by multiplying the transformation matrices of the individual transformations together. For example, to perform a rotation followed by a translation in 2D graphics, we would multiply the rotation matrix and the translation matrix together and apply the resulting matrix to the point we want to transform.

More specifically, if we have two transformation matrices, `M1` and `M2`, representing two basic transformations, we can combine them into a composite transformation matrix, `M`, using matrix multiplication as follows:

```

M = M1 * M2

```

To apply the composite transformation matrix `M` to a point `P`, we multiply `M` by `P` as follows:

```

P' = M * P

```

where `P'` is the transformed point.

Composite transformations are useful because they allow us to create complex transformations by combining simpler ones. For example, we can create a rotation around an arbitrary point by first translating the point to the origin, performing the rotation, and then translating back. We can also create an animation by combining multiple transformations over time.

In addition to matrix multiplication, composite transformations can also be achieved by applying the basic transformations in sequence. For example, to perform a rotation followed by a translation, we can first apply the rotation, and then apply the translation to the resulting point. However, matrix multiplication is often preferred because it is more efficient and easier to implement in computer graphics.