A group of neighbors are working on their plans for a community garden. They started with square plots, but some of the families found that their garden was too big for them to care for, and others found that they wanted a bigger garden so they could produce more vegetables. Each family can adjust their plot as they choose. Each of the functions below represents the area of a new garden plot for one of the families. A(x) is the area of the new garden in square feet and represents the previous length of their garden in feet.
Original garden A: f(x)=x2
Garden B: A(x)= x2 +8x+7
Garden C: A(x)= x29
Garden D: A(x)= x213x+36
1) How do the dimensions of garden B compare to the original garden?
2) How do the dimensions of garden C compare to the original garden?
3) Is the total area of garden C more or less than the area of the original garden? EXPLAIN.
4) If the original garden was 12ft 12ft, what are the dimensions of garden D?
