quadratic function and its graph using geogebra
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![Page 1: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/1.jpg)
QUADRATIC FUNCTION AND ITS GRAPH USING GEOGEBRA
![Page 2: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/2.jpg)
FUNCTION
OF ARE GIVEN BY THE FOLLOWING FORMULA,
WHERE THE DEPENDENT VARIABLE X, A,B,C
INTEGERS IS CALLED A QUADRATIC FUNCTION.
0;)( 2 acbxaxxF
The graph of a quadratic function is a parabola
![Page 3: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/3.jpg)
If a> o branches directed to the top of the parabola, and if a <o - down.
Consider the case: a> 0; b = 0 and c = 0 and using Geogebra-build f (x) = 2x ^ 2 and f (x) = 1/2x ^ 2 schedule
![Page 4: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/4.jpg)
![Page 5: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/5.jpg)
Fill the table and build one daimave The graph of y = x ^ 2 and y = (x-2) ^ 2
schedulex -3 -2 -1 0 1 2 3
Y=x^2
Y=(x-2)^2
![Page 6: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/6.jpg)
![Page 7: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/7.jpg)
Build y = 2x ^ 2-4x-6 Quadratic GraphsParabola vertex coordinates are calculated by the formula:m=-D/4an=-b/2a
![Page 8: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/8.jpg)
When D>0 and a>0 Schedule has a face
![Page 9: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/9.jpg)
When D=0 and a>0 Schedule has a face
![Page 10: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/10.jpg)
When D<0 and a>0 Schedule has a face
![Page 11: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/11.jpg)
When D>0 and a<0 Schedule has a face
![Page 12: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/12.jpg)
When D=0 and a<0 Schedule has a face
![Page 13: Quadratic function and its graph using geogebra](https://reader033.vdocument.in/reader033/viewer/2022051313/5482f596b4af9f7d0d8b48c9/html5/thumbnails/13.jpg)
When D<0 and a<0 Schedule has a face