Henry is designing a model for a dome-shaped glasshouse. He creates the model and records the horizontal distance from the edge of greenhouse of the dome over its vertical height from the base of the model.
The table shows the horizontal distance from the edge of the greenhouse, in inches, x, over its vertical height from the base, in inches, f(x).
x
0
1
2
3
4
f(x)
2
7.5
12
15.5
18

Use the data in the table to create the standard form of the function that models this situation.