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Quadratic Equation
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A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases:
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The two key pieces for graphing a quadratic equation are having the roots and the vertex. Along with the vertex and the roots, you can plot several other points to get a complete graph of a quadratic. If the roots are imaginary, plotting additional points is required to get an accurate graph.
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The term b2 - 4ac is called the discriminant and gives important information about the number and nature of the solutions to the quadratic equation to be solved. Three cases are possible:
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Inmathematics, a quadratic equation is apolynomialequationof the seconddegree. The general form is where a ≠ 0. (For a = 0, the equation becomes alinear equation.)The letters a, b, and c are calledcoefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is theconstantcoefficient... called the free term or constant term.
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[T]he smooth shape of the satellite dish is a curve described by quadratic equation. In this unit you'll explore the properties of quadratic equations and learn how to plot them.
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Quadratic Equation