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# Try our Free Online Math Solver! Online Math Solver

 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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 QUADRATIC FUNCTION SUMMARY STANDARD FORM: f(x) = ax^2 + bx + c Domain Graph (shape) Vertex Range yintercept xintercept( s) a > 0 all real numbers * Lowest point (-b/2a, f(-b/2a) f(-b/2a) to infinity (0, c) solutions to f (x) = 0 a < 0 all real numbers * Highest point (-b/2a, f(-b/2a) negative infinity to f(-b/2a) (0, c) solutions to f (x) = 0 VERTEX FORM : f(x) = a(x – h)^2 + k a > 0 all real numbers* (h, k) k to infinity (0, ah^2 +k) solutions to f(x) = 0 ( Use square root solution method ) a < 0 all real numbers* (h, k) negative infinity to k (0, ah^2 +k) solutions to f(x) = 0 ( Use square root solution method ) * A quadratic function used as a physical model may have restrictions.