Write an equation for the graph of the quadratic function f 4-6 -5 -4/ -3 -2124-2-3-4Write an equation for the graph of the quadratic function f shown above.f(x) =

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Answered: up 4 2 -6 -5 -4/ -3 -2 5 -3 -4 -6 Write…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.1: Quadratic Functions And Models

Problem 79E

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Height of a basketball The path of a basketball thrown from the free throw line can be modeled by the quadratic function f(x)=0.06x2+1.5x+6, where x is the horizontal distance in feet from the free throw line and f(x) is the height in feet of the ball. Find the maximum height of the basketball.
Height of a football A football is thrown by a quarterback from the 10-yard line and caught by the wide receiver on the 50-yard line. The footballs path on this interval can be modeled by the quadratic function f(x)=120x2+3x19, where x is the horizontal distance in yards from the goal line and f(x) is the height of the football in feet. Find the maximum height reached by the football.
Calculus The graph of a cubic polynomial function has horizontal tangent lines at (1,2) and (1,2). Find an equation for the function and sketch its graph.
Size of High Schools The farm population has declined dramatically in the years since World War II, and with that decline, rural school districts have been faced with consolidating in order to be economically efficient. One researcher studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 in enrollment. He considered the cost per pupil as a function of the number of pupils enrolled in the high school, and he found the approximate formula C=7430.402n+0.00012n2 where n is the number of pupils enrolled and C is the cost, in dollars, per pupil. a. Make a graph of C versus n. b. What enrollment size gives a minimum per-pupil cost? c. If a high school had an enrollment of 1200, how much in per-pupil cost would be saved by increasing enrollment to the optimal size found in part b?
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?

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up 4 2 -6 -5 -4/ -3 -2 5 -3 -4 -6 Write an equation for the graph of the quadratic function f shown above. f(x) = 2.