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
1. 1Sep2604:59p.m.To explore the properties of quadratic
functionsand their graphs.To investigate the different forms in
whichquadratic functions can be expressed.To explore the
transformations of quadraticfunctions and their
graphs.http://www.youtube.com/watch?v=VSUKNxVXE4E&feature=player_embedded#http://evmaths.jimdo.com/year11/functions/?logout=1
2. 2Sep2604:59p.m.f(x)=x2vertex:lineofsymmetry: 3.
3Sep2604:59p.m.Whatdoyouexpectif?y=x2y=x2vertex:lineofsymmetry: 4.
4Sep2604:59p.m.Draw,andy=x2 y=2x2vertex:lineofsymmetry: 5.
5Sep2604:59p.m.Conclusions:y=ax2The graph of is a parabola
withvertex: (0,0) line of symmetry : x=0a>0 a1 as "a" increases
the parabola gets "thinner"00k 0 a < 0 11.
11Sep2604:59p.m.y=(x1)2+3vertex:line of
symmetry:y=2(x3)2vertex:line of symmetry:(1,3)x=1(3,0)x=3 12.
12Sep2604:59p.m.y=3x2+4vertex:line of
symmetry:y=3(x+1)22vertex:line of
symmetry:(0,4)x=0(-1,-2)x=-1http://members.shaw.ca/ron.blond/QFA.CSF.APPLET/index.htmlTransformacionesFuncinCuadrtica.ggb
13. 13Sep2604:59p.m.ForParabolas of the
formWhatistheyintercept?Findtherootsoff.Concavity?factorising (if
possible)by formula(y=0) 14.
14Sep2604:59p.m.yintercept=8roots:4and2lineofsymmetry?vertex? 15.
15Sep2604:59p.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)a0Cambioscuadratica.ggb 16. 16Sep2604:59p.m.For find:y-
intercept:line of symmetry:vertex:roots:Now draw a sketch of the
function. 17. 17Sep2604:59p.m.y- intercept: line of
symmetry:vertex: roots:Now draw a sketch of the function.Express
f(x) in the form 18. 18Sep2604:59p.m.y=a(xx1)(xx2)Parabolas of the
form :y=(x3)(x+1)Roots:Lineofsymmetry:Vertex:In general:x1andx2 19.
19Sep2604:59p.m.axisofsymmetryvertexrootrootyintercept(0,c) 20.
20Sep2604:59p.m.y=(x2)2y=x2+1y=x22y=x2+3y=(x3)2+5y=2x2+1 21.
AttachmentsParabolacanonica.ggbCambioscuadratica.ggbQUADRATICFUNCTIONSI2010.docTransformacionesFuncinCuadrtica.ggb
