3. The picture shows a water fountain in a park. The water follows a path in the shape of a parabola. The equation of the water path is
y=-x^2+4x+2, where y is the height of the water above the pond level
and x is the horizontal distance of the water from the fountain outlet
a
Estimate the maximum height of the water. Show how you
determined your answer.
b. Approximately how far from the outlet will the water's path be when
the water reaches pond level? Use the quadratic formula to find your
answer. Show your work,