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HERE IS a MOVIE (below) TO SHOW YOU
HOW find the equation of a parabola that best fits a data set.

The data collected during an experiment :
X               Y
0                   1
1                    5
2                   14
3                  30
4                   50
 
1)      Plot the dots
2)      what kind of relationship ? quadratic , the graph is a parabola
3)      what kind of graph best fits the points ?parabola
4)      find the equation of the parabola that best fits the data
 
y = 2.78 x² + 1.16 x + 0.97 Let’s trace this graph, that matches the equation to check if it fits the data !
find y for x = 1.5       y = 8.86
5)      find x for y=35   

 
You can see the movie here