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Part 1 - Application Physics shows that when an object is thrown upward with an initial velocity of vo, then its approximate height is given by this quadratic function. s = -4. 9t' + vot + h A ball is thrown upward from the top of a building 15 meters high, at a velocity of 3.1m/sec. Answer the following questions. Be sure to show and explain all work. a. Find the maximum height and the time in which it was attained (round to 3 decimal places) b. When does it reach the ground? (round to 3 decimal places) c. Sketch a graph to illustrate your answers.Part 2 - Find the error(s) and solve the problem correctly. Express the following in completed square form to find the vertex and the x-intercepts. f(z) = 3x3 + 12x +7 Answer: Complete the square to find the vertex. 3(x2 + 12x) +7 =0 3(x2 + 12x + 36) + 7 + 36 = 0 3(x + 6) +7 + 36 = 0 3(x + 6) + 29 = 0 vertex = (-6, 29) Solve for x to get x-intercepts. 3(x + 6) = -29 (+ 6) = 29 3 29 ( + 6) = #1 3 29 6 3Part 3 - Discussion Question A. Write out the equation for the Standard Form of a quadratic function and give an original example. B. Write out the equation for the General Form of a quadratic function and give an original example. C. Which form of a quadratic function is your preferred form? Explain your reasoning.Find two sets of three consecutive odd integers such that the sum of their squares equals 251. Show and explain your work.Farmer Conor wants to build a rectangular pen for his pack of Llama's. He has a gorge with a river along one side of the pen, so he will not need fencing there. He has a total of 274 feet of fencing. What dimensions should Farmer Connor use to maximize the area of the pen? Will he have any fencing left over? If so, how much