Question 36426: Somebody please help. The graph has to be a real life situation with numbers to make it, I think. I posted the question from my professor, not sure if I completely understand what I need. I know I need a graph and some numbers, that's about all I really know. Please help. Any help would be greatly appreciated.using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminate is b2 - 4ac. This discriminate can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
• Explain what the value of the discriminate means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminate. Then, graph the corresponding equation.
Answer by stanbon(48558)   (Show Source):
You can put this solution on YOUR website!If discriminant is >0 the quadratic has two Real Number roots.
If discriminant is 0 the quadratic has two equal rational roots.
If discriminant is <0 the quadratic has two imaginary roots.
Example:
y=ax^2+bx+c
If a=1,b=1,c=-2 the quadratic has two real number roots, as follows:
| Solved by pluggable solver: SOLVE quadratic equation with variable |
Quadratic equation  (in our case  ) has the following solutons:
For these solutions to exist, the discriminant  should not be a negative number.
First, we need to compute the discriminant :  .
Discriminant d=9 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 1, -2.
Here's your graph:
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Hope this helps.
Cheers,
Stan H.
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