<h2>Answer:</h2>
The matrix expression that represents the transformation is:
Option: C
We are given a vertices of a triangle as:
(2, 9), (-5, 1), and (1,- 4)
This means that in the matrix representation these vertices could be represented as:
Now, when these vertices are dilated by a scale factor of 4, the change in vertices are:
Each of the vertices are multiplied by 4.
i.e. each of the entry in the matrix is multiplied by 4.
or we can take common 4 from the matrix to obtain the transformed vertices in the form as: