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In the equation y = ax 2 + bx + c , what is the graphical significance of the value of c ? ______________________________________ ______________________________________

In the equationy=ax2+bx+c,

what is thegraphicalsignificance of the value ofc?

______________________________________

______________________________________

2. This exercise focuses on the relationship between a quadratic model equation and the situation being modeled.

Ifa> 0 in the quadratic modely=ax2+bx+c,

what do we know about the rate of change of the model?

______________________________________

______________________________________

3. Based on data from 1990 to 2004, the population of the United States can be modeled by

P(t) =19.56t2+ 3407t+ 250,100

thousand people, wheretis the number of years since 1990.Explain the real-world meaning of the parametersa,b, andcof the quadratic function model.

The parameter "a" is________________ and represents the rate at which the change in population of the United States per year is decreasing by 39.12 thousand people per year. The parameter "b" is__________________and represents the increase in the number of thousand people in the United States per year in the initial year of_____________. The parameter "c" is _________________and represents the number of thousand people in the United States in_________________ .

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