Practice Chapter 5 Test: Applying Quadratic Models 1. Write an equation of a parabola that: a) has a narrower opening than the graph of ????=????2 b) opens downward and has a wider opening than ????=????2 2. List the transformations applied to the following (make sure to use the correct mathematical terms): a) ????=13????24 b) ????=2(????4)2 3. Determine the equation of the parabola that has a vertex at ( 3, 4) and has a y intercept of 5. 4. Write the equations of the following graphs in vertex form.Write the equations of the following graphs in vertex form. Answers here Answers here a) _______________________ b)_______________________ Show work here 5. For the following quadratic equation For the following quadratic equation ????=????24????5 a) Write the equation in Write the equation in factored form.factored form. b) Find the axis of symmetry.Find the axis of symmetry. c) Find the vertex.Find the vertex. d) Write the equation in vertex form.Write the equation in vertex form. e) Sketch the graph.Sketch the graph. 6. The underside of a bridge is a parabolic arch. The arch has a The underside of a bridge is a parabolic arch. The arch has a maximum height of 35 m and a maximum height of 35 m and a width of 30 m . Can a sailboat width of 30 m . Can a sailboat pass under the bridge, 9 m from the axis of symmetry, if the top of pass under the bridge, 9 m from the axis of symmetry, if the top of the mast is 25 m above the water? Show all your work (INCLUDE the mast is 25 m above the water? Show all your work (INCLUDE A DIAGRAM).A DIAGRAM).