Unit 3 - Quadratic Functions Assignment 1. A stone is thrown into the air from a bridge over a river. It falls into the river. The height of the stone above the water, h(t), is measured in meters. The time spent in the air, t, is measured in seconds. The function which models its trajectory is h(t) = -3t2 + 18t + 48. a) How high is the bridge? [2 marks] b) What is the height of the stone after 10 seconds? [3 marks] c) How long does it take the stone to hit the water? Determine this value in two different ways: i. Factoring [4 marks] ii. The quadratic formula [6 marks]Unit 3 - Quadratic Functions Assignment 1. A stone is thrown into the air from a bridge over a river. It falls into the river. The height of the stone above the water, h(t), is measured in meters. The time spent in the air, t, is measured in seconds. The function which models its trajectory is h(t) = -3t2 + 18t + 48. a) How high is the bridge? [2 marks] b) What is the height of the stone after 10 seconds? [3 marks] c) How long does it take the stone to hit the water? Determine this value in two different ways: i. Factoring [4 marks] ii. The quadratic formula [6 marks]d) What is the maximum height reached by the stone, and when does this occur? Determine this value in two different ways: i. Completing the Square [6 marks] ii. Using your factored form equation from part ) [4 marks] d look at the e) Determine the domain and range of the function, specific to this situation. [8 marks]d) What is the maximum height reached by the stone, and when does this occur? Determine this value in two different ways: i. Completing the Square [6 marks] ii. Using your factored form equation from part ) [4 marks] d look at the e) Determine the domain and range of the function, specific to this situation. [8 marks]2. Given f(x) = -3(x - 3)2 + 7, state the vertex, axis of symmetry, direction of opening, y-intercept, domain and range. Graph the function. [15 marks] 10Fy -10 -8 -6 -4 - 2 2 4 8 10 3. Given f(x) = 2(x + 1)(x - 3), state the zeros, axis of symmetry, direction of opening, y-intercept, domain and range. Graph the function. [15 marks] -4 -10 8 -6 -2 2 4 6 8 104. Given a function with a minimum value of f (x) = -8, and zeros at x = 1 and x = -7. determine the equation of the function in all three forms - standard, vertex, and factored. [10 marks] 5. A student brags that they can simply look at the vertex form of a quadratic function and determine if the function has one zero, two zeros, or no zeros without doing any math. Explain how the student does this. Be sure to include an explanation for each individual case and to provide a rough sketch for each. [9 marks]