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Quadratic Equations Standards 8-10

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Page 1: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Quadratic Equations

Standards 8-10

Page 2: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

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 Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Graphs of Quadratic Functions

Coefficient effect on Parabolas

Page 4: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Graphs of Quadratic Functions

Maxima

Minimum

Zeros

Vertex

Line of Symmetry

1)Definition with pictures2)Examples 3) Summary

Page 5: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

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 Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

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 Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Solving Quadratic equations by

Completing the Square

Page 8: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Applications Problem

Page 9: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Applications Problem

Page 10: Quadratic Equations Standards 8-10. Graphs of Quadratic Functions U- Shaped Graph Vertical y=x 2 or Horizontal x=y 2 Positive Negative Summary: The of

Applications Problem


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