MAT 150 – Algebra Class #11 Topics:

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MAT 150 – Algebra Class #11 Topics: Find the exact quadratic function that fits three points on a parabola Model data approximately using quadratic functions

Writing a Quadratic Function A parabola passes through the points (0, 5), (4, 13) and (-2, 25). Write the equation of the quadratic function whose graph is this parabola.

Speed vs. Fuel Economy A study compared the speed x (in miles per hour) and the average fuel economy y (in miles per gallon) for cars. The results are shown in the table. Using the function, what is the fuel economy if the speed is 47? Plot the data points. Is it linear or quadratic? Write the equation of this function. Speed, x Fuel Economy, y 15 22.3 20 25.5 25 27.5 30 29 35 28.8 40 45 29.9 50 30.2 55 30.4 60 65 27.4 70 25.3 (Source: Transportation Energy Data Book)

Quadratic Regression Using the pervious data, put the data into your calculator where Speed is List 1 and Fuel Economy is List 2 Now select STAT, CALC, 5: QuadReg What is the fuel economy if the speed is 47? When can we be certain that this model no longer applies?

How to use Excel

Modeling with Power Functions Years after 1950 Households (thousands) 10 439 20 523 30 1589 35 1983 40 2856 45 3668 52 4898 54 5080 57 6209 58 6210 Plot the data points. Write the equation of this function.

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Assignment Pg. 223-230 #1 , 5 and 8 #12, 15, 17, 20, 21 #29, 35, 45, 48