The discriminant of the quadratic equation and parabola - y = ax2 + bx + c
Not what you're looking for?
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.
Purchase this Solution
Solution Summary
The solution elaborates on the relationship of the discriminant and the quadratic equation. It further explains how to judge the graph of the parabola based on the value of the discriminant. Supplemented with graphs and step-by-step texts, the solution provides a clear understanding of the meaning of the discriminant of the quadratic equation.
Solution Preview
Please see the detailed solution in the attached WORD file.
(1) If the discriminant is zero, there is a repeated solution x, and this solution is real. Geometrically, ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.