Question: Problem 2. The temperature on a beautiful March day follows a quadratic function over the course of a day. At midnight it is 20 Celsius,

Problem 2. The temperature on a beautiful March day follows a quadratic function over the course of a day. At midnight it is 20 Celsius, at 4am it is 120 Celsius, and at 4pm it is 18 Celsius. (a) Find the quadratic function f(x) that models the temperature over the course of 24 hours, where x is the number of hours after midnight. quadratic function (b) What is a reasonable domain for the function. Justify your answer. (c) What is the highest temperature and when will it be reached? 4

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