Quadratic formulas?

[bravelady]

I need to show my work on how to solve this and I don't have any idea how. Can someone help me please?


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.

 

[jonboy]

It's good that you know the discriminant is \(\displaystyle b^2\,-\,4ac\).

So do some trial and error and get a negative, a positive and an answer of 0. Then you can play with the graph to see what happens. It's better when you do it.