quadratic function and its graph using geogebra
Post on 05-Dec-2014
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QUADRATIC FUNCTION AND ITS GRAPH USING GEOGEBRA
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
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
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
Build y = 2x ^ 2-4x-6 Quadratic GraphsParabola vertex coordinates are calculated by the formula:m=-D/4an=-b/2a
When D>0 and a>0 Schedule has a face
When D=0 and a>0 Schedule has a face
When D<0 and a>0 Schedule has a face
When D>0 and a<0 Schedule has a face
When D=0 and a<0 Schedule has a face
When D<0 and a<0 Schedule has a face
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