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