Use the graph below to answer the three questions.

123456-1-2-3-4-5-6123456-1-2-3-4-5-6ABC[Graphs generated by this script: initPicture(-6,6,-6,6);axes(1,1,1,1);stroke='blue';strokewidth=2;path([[-2,5],[0,-4],[4,0],[-2,5]]);]

a) Write a matrix that represents triangle ABC.

 
 
 

b) Find the coordinates of triangle ABC after a dilation with scale factor 2. Write your answer as a matrix.

 
 
 

c) Find the coordinates of triangle ABC after a translation 3 units to the right and 2 units down. Write your answer as a matrix.