MATH 12V
Question: What can you tell about the graph of a quadratic function based on the roots you get from solving the quadratic formula for that equation?
Answer: you can tell alot of things about a graph by useing the discriminant. The discriminant tells you how many roots a quadratic function has.
The formula we use for discriminant is
and a quadratic formula is
by having a quadratic formula,
we know what a, b and c are equal. Therefore can put it in to the discriminant formula to find how many roots there are.
No real roots means your quadratic never has an x-intercept. One real root means it has two of the same x-intercept or you could just say one x-intercept.
To find the roots you need to quadratic function formula, Which is
. To solve for the roots you put the a, b and c values in and solve for the plus then for the minus.
Example of a quadratic fomula

Example of Roots
|
1. b2 −4ac < 0 There are no real roots.
2. b2 −4ac = 0 There is one real root.
3. b2 −4ac > 0 There are two real roots.
|
1.No real roots

2. One real root(same valued roots)

3. Two real roots.

My KITTENS

Meet colbee and shelbee I'll going to try the map the ears to our math.
can anyone help me with that earproblem?
Term 2
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