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Quadratic Equations Standards 8-10

Quadratic Equations

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Quadratic Equations . Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative . - PowerPoint PPT Presentation

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Page 1: Quadratic Equations

Quadratic Equations

Standards 8-10

Page 2: Quadratic Equations

Graphs of Quadratic Functions

U- Shaped Graph Vertical y=x2 or Horizontal x=y2

Positive Negative Summary: The of a Quadratic Function is U shaped. Positve graphs look like a U. Negative Graphs look like an upside down U. The equations for a vertical graph are y=x2 or Horizontal x=y2

http://2.bp.blogspot.com/-4wbJDhqvk9E/T7EdnjS9sqI/AAAAAAAAAFU/MhCrPYpjpkQ/s1600/Positive+and+Negative+Quadratic+Graphs.png

Page 3: Quadratic Equations

Graphs of Quadratic Functions

Coefficient effect on Parabolas

Page 4: Quadratic Equations

Graphs of Quadratic Functions

Maxima Minimum ZerosVertex Line of Symmetry

1)Definition with pictures2)Examples 3) Summary

Page 5: Quadratic Equations

Solving Quadratic equations by Factoring In this problem, you look for the GCF and factor it out. Then you solve both of the equations to find x. You can check the answers by substituting.

From http://images.flatworldknowledge.com/redden/redden-eq09_102.jpg

Page 6: Quadratic Equations

Solving Quadratic equations by Quadratic Formula

43. f(x) 2x2+4x-1 To solve quadratic functions you use the quadratic equation

Page 7: Quadratic Equations

Solving Quadratic equations by Completing the Square

Page 8: Quadratic Equations

Applications Problem

Page 9: Quadratic Equations

Applications Problem

Page 10: Quadratic Equations

Applications Problem