Part B An alternative design for The Sports pavilion has a parabolic cross section. The design will have a maximum height of 9.5 metres and a width at ground level of 16 metres. • Find a mathematical model for the cross-sectional shape of this alternative design. • Find the width of the building for this parabolic design that has a vertical height of at least 3.6 metres. Part C The designer of this alternative parabolic design decides to adjust the design so that the vertical height is at least 3.6 metres for the same width as the elliptical model - that is, the width of the elliptical model where the vertical height is at least 3.6 m • Adjust the mathematical model for the parabolic cross section so that it meets this condition and describe the difference between the adapted model and the original model.