Engineering The Transport and Road Research Laboratory in Great Britain proposes the use of parabolic speed bumps 4 inches in height and 1 foot in width.
a. Write a system of second-degree inequalities that models a cross-section of this speed bump. Locate the vertex of the speed bump at (0, 4).
b. Graph the system found in part a.
c. If the height of the speed bump is decreased to 3 inches, write a system of equations to model this new cross-section