SOLUTION: Given the graph of y = ax^2 + bx + c Use the graph to determine the sign of the discriminant D, and the corresponding quadratic equation and its solutions. Thank You

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Given the graph of y = ax^2 + bx + c Use the graph to determine the sign of the discriminant D, and the corresponding quadratic equation and its solutions. Thank You      Log On


   



Question 193711This question is from textbook
: Given the graph of y = ax^2 + bx + c Use the graph to determine the sign of the discriminant D, and the corresponding quadratic equation and its solutions.
Thank You
This question is from textbook

Answer by J2R2R(94) About Me  (Show Source):
You can put this solution on YOUR website!
The graph y = ax^2 + bx + c is a parabola and where a, b and c are real:
has two different real roots when the discriminant is greater than 0 and the graph cuts across the x-axis twice.
has two equal real roots when the discriminant is equal to 0 and the graph touches the x-axis in one place only.
has two conjugate complex roots when the discriminant is less than 0 and the graph doesn’t cross the x-axis.