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Quadratic Equations Quadratic Equations

Quadratic Equations - PowerPoint Presentation

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Uploaded On 2017-10-28

Quadratic Equations - PPT Presentation

Standards 810 Graphs of Quadratic Functions U Shaped Graph Vertical yx 2 or Horizontal xy 2 Positive Negative Summary The of a Quadratic Function is U shaped Positve ID: 600272

equations quadratic problem graphs quadratic equations graphs problem functions negative applications solving summary http solve vertical redden horizontal graph

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Presentation Transcript

Slide1

Quadratic Equations

Standards 8-10Slide2

Graphs of Quadratic Functions

U- Shaped Graph

Vertical y=x

2 or Horizontal x=y2Positive 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.pngSlide3

Graphs of Quadratic Functions

Coefficient effect on Parabolas Slide4

Graphs of Quadratic Functions

Maxima

Minimum

ZerosVertex Line of Symmetry

1)Definition with pictures2)Examples 3) Summary Slide5

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.jpgSlide6

Solving Quadratic equations by Quadratic Formula

43. f(x) 2x

2

+4x-1

To solve quadratic functions you use the quadratic equationSlide7

Solving Quadratic equations by Completing the Square Slide8

Applications ProblemSlide9

Applications ProblemSlide10

Applications Problem