A bride throws her wedding bouquet out to the crowd from the top of the church steps. The height of the bouquet (h(x) is in meters) above the ground as a function of the horizontal distance travelled (x is in meters) is given by h(x) =-3x + 6x + 1 a) Use the vertex formula to find the exact coordinates of the vertex: b) Find the initial height of the bouquet: c) Graph the function, by hand on separate paper, using the information from parts a) and b). Check your graph with DESMOS. You do not need to include this graph in your solution. d) Determine the exact horizontal distance from the bride where the bouquet lands on the ground. Show the steps in using the quadratic formula to find this value. Do not use a calculator! The following function, P(t) = (t - 2.6) (t-4.5) models the annual profit in $ millions of a mid- size marketing firm with t in years from start-up in 2012 (1=0 is the year 2012). Without graphing the function on DESMOS, answer the following questions and explain your logic. a) Is the profit increasing or decreasing after 2017 (t = 5)? How do you know this from the equation of the function? b) For what values oft is the profit exactly zero? t = c) The practical domain is t [0,8]. State the interval fort in which the profit is negative in the practical domain: E How do you know this from the equation of the function?