As a decoration for a school dance, the student council creates a parabolic arch with balloons attached to it for students to walk
through as they enter the dance. the shape of the arch is modeled by the equation
y = x(5 – x), where x and y are measured in feet and
where the origin is at one end of the arch. can a student who is 6 feet 6 inches tall walk through the arch without ducking?