Chapter 9.3, Problem 82PE

a. Write a matrix $A$ that represents the coordinates of the vertices of the quadrilateral.

b. What operation on $A$ will shift the graph of the quadrilateral $6$ units downward?

c. What operation on $A$ will shift the graph $2$ units to the left?

d. Use matrix multiplication to reflect the graph across the $x\text{-axis}\text{.}$

e. Use matrix multiplication to reflect the graph across the $y\text{-axis}\text{.}$