Algebra 2 Notes March 3, 2009.  An engineer collects the following data showing the speed in miles per hour (x) of a Ford Taurus and its average miles.

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Presentation transcript:

Algebra 2 Notes March 3, 2009

 An engineer collects the following data showing the speed in miles per hour (x) of a Ford Taurus and its average miles per gallon (y)  1) Using your calculator generate a scatter plot of the data and find the quadratic function of best fit. ◦ Use the calc. steps given in the notes yesterday  2) Use the function to predict the miles per gallon for a speed of 63 miles per hour. ◦ Use your 2 nd Table function to check your answer

 Remember standard form of a quadratic function:  When a > 0 (positive) ◦ The parabola opens UP ◦ The vertex is a ___________??  When a < 0 (negative) ◦ The parabola opens DOWN ◦ The vertex is a ___________??

 The graph will intersect the y-axis when x=0 ◦ To find the y-intercept of a function, plug ‘0’ into the equation for x  The equation for the line of symmetry is: ◦ This equation also gives you the x coordinate of the vertex

Example C:  Vertex: (0, 3)  y-intercept: (0, 3) Example D:  Vertex: (4, 4)  y-intercept: (0, 0)

Extension: You obviously can’t hire three-fourths of an employee, so in order to realistically maximize profit as best you can how many employees would you hire, 3 or 4? Explain

 Page 248 #22, 25, 28-30, 37-39