For the quadratic function:3. Write the coordinate pairs of its four points.Draw the graph of the function on the grid.4. Write an equation that fits the quadratic function.Show yourwork. (08unctionsOn the grid are eight points from two different functions.A certain linear function passes through exactly four of the points shown.A certain quadratic function passes through the remaining four points.For the linear function:1.Write the coordinate pairs of its four points.(2.9)(3,7)(4,5)(5,3)Draw the line on the grid.y 41097654321001 2wo4 5678 9Ex

The general form of a quadratic function is f(x) = ax²+ bx+c

Answered: For the quadratic function: 3. Write…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.CR: Review Exercises

Problem 67CR

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Software Publishing The table shows the estimate revenues in billions of dollars of software publishers in the United States from 2011 through 2013.Source: U.S. Census Bureau Year Revenues, y 2011 156.8 2012 161.7 2013 177.2 a Create a system of linear equations for the data to fit the curve y=at2+bt+c Where t = 1 corresponds to 2011, and y is the revenue. b Use Cramers Rule to solve the system. c Use a graphing utility to plot the data and graph the polynomial function in the same viewing window. d Briefly describe how well the polynomial function fits the data.
Health Care Expenditures The table shows annual personal health care expenditure in billions of dollars in the united states from 2011 through 2013 Source Bureau of Economic Analysis. Year 2011 2012 2013 Amount y 1765 1855 1920 (a) Create a system of linear equations for the data to fit the curve y=at2+bt+c where t=1 corresponds to 2011, and y is the amount of the expenditure. (b) Use the Cramers Rule to solve the system. (c) Use a graphing utility to plot the data and graph the polynomial function in the same viewing window. (d) Briefly describe how well the polynomial function fits the data.
Traffic Accidents The following table shows the cost C of traffic accidents. in cents per vehicle-mile, as a function of vehicular speed s, in miles per hour, for commercial vehicles driving at night on urban streets. Speed s 20 25 30 35 40 45 50 Cost C 1.3 0.4 0.1 0.3 0.9 2.2 5.8 The rate of vehicular involvement in traffic accidents per vehicle-mile can be modeled as a quadratic function of vehicular speed s, and the cost per vehicular involvement is roughly a linear function of s, so we expect that C the product of these two functions can be modeled as a cubic function of s. a. Use regression to find a cubic model for the data. Keep two decimal places for the regression parameters written in scientific notation. b. Calculate C(42) and explain what your answer means in practical terms. c. At what speed is the cost of traffic accidents for commercial vehicles driving at night on urban streets at a minimum? Consider speeds between 20 and 50 miles per hour.

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For the quadratic function: 3. Write the coordinate pairs of its four points. Draw the graph of the function on the grid. 4. Write an equation that fits the quadratic function. Show your work.