It's kind of a word problem that includes a graph, however it prominently just loses me completely.
Andrew has designed a new water slide as shown below. H and x in metres. It is constructed using parts of two parabolas that intersect at the point when x=8
the slide starts flat and finishes flat at the point (20,0.5) and passes through two other points(4,34.5) and (14, 5)
Determine the height of the top of the slide, by modeling the slide with two parabolas. THat is, find the h-intercept of the graph.