short note on quadratic function in Economis
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Explanation:
A quadratic function is a polynomial function with one or more variables in which the highest power of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2. A quadratic function has a minimum of one term which is of the second degree.
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Quadratic Function
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Quadratic functions are used in different fields of engineering and science to obtain values of different parameters. Graphically, they are represented by a parabola. Depending on the coefficient of the highest degree, the direction of the curve is decided. The word "Quadratic" is derived from the word "Quad" which means square. In other words, a quadratic function is a “ polynomial function of degree 2.” There are many scenarios where quadratic functions are used.
Did you know that when a rocket is launched, its path is described by the solution of a quadratic function? In this article, we will explore the world of quadratic functions in math. You will get to learn about the graphs of quadratic functions, quadratic functions formula, and other interesting facts around the topic.
What is Quadratic Function?
A quadratic function is a polynomial function with one or more variables in which the highest power of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2. A quadratic function has a minimum of one term which is of the second degree.
Quadratic Function Definition
A quadratic function is of the form f(x) = ax2 + bx + c, where a, b, and c are real numbers with a ≠ 0. Let us see a few examples of quadratic functions:
f(x) = 2x2 + 4x - 5; Here a = 2, b = 4, c = -5
f(x) = 3x2 - 9; Here a = 3, b = 0, c = -9
f(x) = x2 - x; Here a = 1, b = -1, c = 0
Now, consider f(x) = 4x-11; Here a = 0, therefore f(x) is not a quadratic function.