1. Solving Quadratic Equations by Graphing

2. What is the relationship between the graph of y = x2 – 6x + 8 and the solutions to x2 – 6x + 8 = 0?

3. Solving Equations
When we talk about solving these equations, we want to find the value of x when y = 0. These values, where the graph crosses the x-axis, are called the x-intercepts.
These values are also referred to as solutions, zeros, or roots.

4. Identifying Solutions
Example y = x2 - 4
Roots are -2 and 2.

5. Identifying Solutions
Now you try this problem.
y = 2x - x2
Roots are 0 and 2.

6. Quadratic Solutions The number of real solutions is at most two.
No solutions
One real solution
Two real solutions

7. What do you know about the discriminant in each of the previous examples?