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and important real world problems, quadratic equations very often make an appearance solutions, one solution, or, as in the above example, two solutions. EXAMPLE 1 Finding the vertex, focus, and directrix, given an equation Find the vertex, focus, and directrix for the parabola y x2. Solution Compare y x2 to the

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How to graph parabolas with stretches or dilations, define the focus and directrix of a parabola, examples and step by step solutions, Intermediate Algebra Here is a set of practice problems to accompany the Parabolas section of the Common Graphs chapter of the notes for Paul Dawkins Algebra course at Lamar University.

Great word problems involving quadratic equations with detailed solutions Thus, for example, 2 x 2 в€’ 3 = 9, x 2 в€’ 5 x + 6 = 0, and в€’ 4 x = 2 x в€’ 1 are all examples of quadratic equations. the solution to the problem is x = 4.