The diagram shows the cross-section of a canal. O and B are points on the surface of the water, with OB=2.5m.
At point A the canal is 3m deep. The cross-section is
modelled as a quadratic curve OAB. x and y are the
horizontal and vertical distances from O in metres.
a i Write down the coordinates of point A.
ii Hence find an equation for the curve OAB. (3 marks)