Part A the new function will be -16t^2 + 224t + 120
Part B The axis of symmetry ( x = 7) will be same for both graphs The maximum value fr the new graph will be 904 seconds ( that is 120 more than the original graph). The zeroes for the first graph are 0 and 14. For the second graph the first one will be negative and the second will be greater than 14 meters.
c.From the ground f(7)=-16*7² +224*7=784 ft If from 120 ft building - 784+120=904 ft d. -16t(t-14), t=14 , to increase by 2 sec, -16t(t-16)=-16t+256t To make stay in the air longer by 2 sec , the initial velocity should be 256 feet/sec, if the company will be launching firework from the ground