1. A fountain is designed so that water is projected over a walkway. The path of the water is modelled by the formula

$y=x(5-x)0\leqx\leq5$

where $x$ is the horizontal distance in meters from the base of the fountain at ground level and $y$ is the height of the water in metres.

Sketch the graph of the model, labelling any intersections with the coordinate axes.