Can someone help me with this practice text

5. {3 mart-ts} Determine the equation of a quadratic function with zeros at 2 and 6 that passes through the point [1, 4). E. {4 marks} A professional archer is demonstrating a I'tn'clr shot\" by shooting an arrow through an apple that has been thrown into the air. The height of the apple can be modelled by the quadratic equation Mt] = 5tt2 + EDE + 2 where h represents the height in meters {m} and t represents time in seconds {5]. If the path of the arrow is modelled by the linear equation flit] = 2t + 1.5, ~ a. {3 marks} How long will it take for the arrow to hit the apple? b. {'1 mark] Atwhat height will the apple be when it is hit? {For both a and b parts, you may use decimals; round nal answers to one decimal plaoe] T. [5 marks} Use comgletlng the sguere to solve this question. Using any other method Itl'al'ill result in a zero. A. toyr rocket is launched from the top of a building. Its ight path can be modelled by the following equation: ME] = 4.9t2 + 29.44% + 5H where h represents the height in meters {m} and t represents time in seconds [s]. Answer the following 3 questions: How tail is the building? What is the maximum height that the rocket reaches? And how marry seconds after being launched does it reach this maximum height? Part I: Knowledge and Understanding 1. {2 marks} For the quadratic function III} = 306 - 1)2 + 2, a. What are the rst 3 steps in the step pattern? b. What is the range? 2. [4 marks} What value of c would \"complete the square\" [create a perfect. square tIinomial} for the following? Then. factor each perfect square trinomial and write the result in the form [x )2 a}xg+1x+c HIE91+;- {T = c : Factored form: Factored form: 3. {3 marks] How many:r solutions does the following linear-quadrac system have? f(x)=2x2-4x-1 and ELI] =x 4. {3 marks} Use the step pattern to determine the equation of the quadratic function on the right. Using a diemrl memo-d will result in a zero