Answer:
The matrix expression that represents the transformation is:
Option: C
[tex]4\cdot \left[\begin{array}{ccc}2&9\\-5&1\\1&-4\end{array}\right][/tex]
Step-by-step explanation:
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:
[tex]\left[\begin{array}{ccc}2&9\\-5&1\\1&-4\end{array}\right][/tex]
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:
[tex]4\cdot \left[\begin{array}{ccc}2&9\\-5&1\\1&-4\end{array}\right][/tex]
