1. 1
Sep 2604:59 p.m.
To explore the properties of quadratic functions
and their graphs.
To investigate the different forms in which
quadratic functions can be expressed.
To explore the transformations of quadratic
functions and their graphs.
http://www.youtube.com/watch?v=VSUKNxVXE4E&feature=player_embedded#
http://evmaths.jimdo.com/year11/functions/?logout=1
5. 5
Sep 2604:59 p.m.
Conclusions:
y = a x 2
The graph of is a parabola with
vertex: (0,0) line of symmetry : x = 0
a > 0 a < 0
|a | > 1 as "a" increases the parabola gets "thinner"
0 < |a| <1 the parabola looks "fatter"
"a " produces a stretch along the y-axis
7. 7
Sep 2604:59 p.m.
Conclusions:
parabola moves to the right
parabola moves to the left
vertex:
line of symmetry:
vertex:
line of symmetry:
( h , 0 )
x = h
( h , 0 )
x = h
Translation along xaxis
( h > 0 )
15. 15
Sep 2604:59 p.m.
Line of symmetry is in the middle between the roots :
The vertex will be on the line of symmetry:
We can also find the line of symmetry by doing :
y - intercept: ( 0 , c )
a < 0a >0
Cambios cuadratica.ggb