__ Outcome:__ B11(adv) analyze the quadratic formula to connect its components to the graphs of quadratic functions.

Originators: Tom and Nicole

** Explanation: **The quadratic formula is derived from the function y=ax

And if the discriminate is < 0 you have 0 real roots.

The + - in the quadratic formula is there so that you can get both possible roots.It's there because when you took the the square root of each side of the equation, it could be either positive or negitive numbers.

**Sample Problem:**

**Question**

Given the function.

Create a graph,state the discriminate, and find the roots using the quadratic formula.

**Solution/Graph**

(need graph)

**Solution/Discriminate**

The discriminate is 0 therefore, you have 1 double real root.

**Solution/Roots**

Both roots are 8.