MAC1105-College Algebra-20221-97747-Toole--ONLINEE Homework: Homework 3.2QuestionPart 1.For the quadratic function defined, (a) write the function in the form P(x) = a(x-1the parabola, and (c) graph the function.-n².+k, (b) give the vertex ofP(x) = -:x² +3x – 1.....a. P(x) =|(Simplify your answer. Use integers or fractions for any numbers in the expression.)Help Me Solve ThisTextbookGet More Help-

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. What is the maximum height of the penny above the ground?
The graph shows a quadratic function of the form R(t) = at2+bt+c, which represents the yearly revenue for a company, where R(t) is the revenue in year t. a. Is the value of a positive, negative, or zero? Explain. b. Write an expression in terms of a and b that represents the year t when the company had the least revenue. c. The company made the same yearly revenues in 2008 and 2018. Estimate the year in which the company had the least revenue. d. Assume that the model is still valid today. Are the yearly revenues currently increasing, decreasing, or constant? Explain.
For the following situation: A six foot person standing on a flat surface throws a javelin in the air. After traveling horizontally for 75 feet it reaches a peak height of 81 feet above the surface. a) Create a quadratic function (in any of the three forms) to match this situation. Let z be the horizontal distance in feet and h(r) be the height in feet b) How far horizontally does the javelin travel before it hits the ground? Round to the nearest foot. c) What is the range (all of the output values) of this function in the context of the javelin being thrown?

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For the quadratic function defined, (a) write the function in the form P(x) = a(x -h) +k, (b) give the vertex of the parabola, and (c) graph the function. P(x) = -x + 3x – 1 ..... a. P(x) =| (Simplify your answer. Use integers or fractions for any numbers in the expression.)