Quadratic function and its graph using geogebra

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