Consider the graph of , where f is given by f(x)=ax2 + bx + c. Discuss the general shape o...

Consider the graph of , where f is given by f(x)=ax2 + bx + c. Discuss the general shape of g, including its domain and range. Discuss the advantages and disadvantages of graphing g as a composition of the functions . (Hint: You may want to use the following expressions for f: x2 −2x −8, −x2 + 2x + 8, x2−2x + 2, −x2+ 2x - 2.)