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a Explain the significance of...

a Explain the significance of the constants m, n and p in the completed square form of the quadratic equation y = m(x + n)2 + p.

The table shows the number of students, s, who have a cold in a college over a number of days, t.

t 0 5 10 15 20 25 30 35 40 45 50

s 25 31 38 43 47 47 45 41 36 30 24

b Plot the points on a graph and use the completed square form to find an equation to model the above data. Test the accuracy of your model.

c Use an appropriate software package to find a quadratic expression to model the data.

The table shows the number of students, s, who have a cold in a college over a number of days, t.

t 0 5 10 15 20 25 30 35 40 45 50

s 25 31 38 43 47 47 45 41 36 30 24

b Plot the points on a graph and use the completed square form to find an equation to model the above data. Test the accuracy of your model.

c Use an appropriate software package to find a quadratic expression to model the data.

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