Fitting the Model Visually 𝑓(𝑥) = 𝑎(𝑥−ℎ)2 + 𝑘
For this section, you’ll need to have Modeling Covid Spread (Desmos) open on your computer.
1 Try changing the values of 𝑎, ℎ and 𝑘 to find three promising quadratic models, graphing each one and labeling your values in the grids below.
𝑎= |
𝑎= |
𝑎= |
Fitting the Model Programmatically 𝑓(𝑥) = 𝑎(𝑥−ℎ)2 + 𝑘
For this section, open your copy of the Covid Spread Starter File.
2 In the space below, define quadratic1 to be the first model you fit in Desmos.
fun quadratic1(x): ( a * (num-sqr( x - h ))) + k end
3 In the Definitions Area, define quadratic1, quadratic2 and quadratic3 to describe the three models you fit in Desmos.
4 Use fit-model to determine the 𝑅2 value of each of your models for the MA-table.
𝑅2 for quadratic1: 𝑅2 for quadratic2: 𝑅2 for quadratic3:
Are Quadratic Models a Good Fit for This Data?
5 Would you feel good about making predictions based on these models? Why or why not?
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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