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## Discussion

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### Solving Quadratic Equations by Graphing

A quadratic equation has 2 real roots if its graph has 2 x-intercepts, one real root if it has 1 x-intercept (in this case, the graph is tangent to the x axis), and no real roots if it has no x-intercepts.

If a root is not an integer, estimate the root by stating the two consecutive integers it lies between.

A real number is a zero of the quadratic function f(x) if and only if it is a root of the equation f(x) = 0.

### Solving Quadratic Equations by Graphing

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Quadratic Equations 0:18
- Example: Standard Form
- Solving by Graphing 1:39
- Roots
- Example: 2 Solutions
- Example: 1 Solution
- Example: 0 Solutions
- Estimating Solutions 3:55
- Example
- Lecture Example 1 5:16
- Lecture Example 2 7:51
- Additional Example 3
- Additional Example 4

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