Math 0132 Tutorial 3 Worksheet: Quadratic and Higher Degree Polynomial Functions {Unit 2, ch. 3 and 4] 1. Find a Rechssion Model for income as a function ofage in a 1|IrTancouyer Island commonigf 3:, age in years (where y, median yearly x= - resents ac Ell income before tax _ Follow the instructions on page I63 of your text and Write the quadratic model: and the value of Ft2 (correlation coefcient}: How do we know that the quadratic model is a better correlation than the linear model fnom Tutorial 2? Discuss why the quadratic model is more logical in this problem context. 3. Gra bin a tie Function inGeneral Fonrr A bride tlnows her wedding bouquet out to the crowd from the top of the church steps. The height of the bouquet [hm is in meters] above the ground as a function of the horizontal distance travelled (x is in meters} is given by hfx] = 3x2 + Ex + 1 a) Use the vertex formula to nd the exact coordhraEs of the vertex: b) Find the initial height of the bouquet: c} Graph the function, by hand on soparate paper, using the information from parts a] and b]. Check your graph with DESMDS. You do n_ot need to include this graph in your solution. d) Determine the m 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 n_ot use a calculator! \f