SOLUTION: Which quadrants contain the graph of any function f(x) = ax^2 + bc + c if a < 0 and the discriminant D < 0?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Which quadrants contain the graph of any function f(x) = ax^2 + bc + c if a < 0 and the discriminant D < 0?      Log On


   



Question 1031236: Which quadrants contain the graph of any function f(x) = ax^2 + bc + c if a < 0 and the discriminant D < 0?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume that you meant f%28x%29+=+ax%5E2+%2B+bx+%2B+c+. The discriminant being negative implies that the quadratic function will have no real roots, hence no x-intercepts. a > 0 implies that the parabola opens upward. Therefore quadrants I and II will contain the graph of the function, or the parabola.