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3 f: x→x 2 funqcia<br />
dawereT funqciuri damokidebuleba:<br />
kvadratis gverdis sigrZe → kvadratis<br />
farTobi.<br />
avagoT f : x →x 2 funqciis grafiki, risTvisac Seva dginoT Sesabamisi<br />
cxrili da miRebuli wertilebi mo vniSnoT marTkuTxa sako ordinato<br />
sistemaSi.<br />
x x 2<br />
–2 4<br />
–1,5 2,25<br />
–1 1<br />
–0,5 0,25<br />
0 0<br />
0,5 0,25<br />
1 1<br />
1,5 2,25<br />
2 4<br />
Tu miRebul wertilebs SevaerTebT, miviRebT wirs, romelic warmoadgens<br />
f : x →x 2 funqciis grafiks.<br />
f : x →x 2 funqciis grafiks parabola ewodeba .<br />
f : x →x 2 funqciis Tvisebebi parabolis Tvisebebi<br />
1. y=x 2 funqciis mniSvnelobebi<br />
arauaryofiTia.<br />
2. x-is nebismieri mniSvnelobisa<br />
Tvis sruldeba: f(x) = f(–x).<br />
3. funqciisumciresimniSvnelo -<br />
baa 0. f(0)=0.<br />
magaliTi 1.<br />
(-a;b)<br />
2 2<br />
b=(-a) =a<br />
-3<br />
-a -1 0<br />
1. parabola moTavsebuliax-Rer-<br />
Zis zeda naxevarsibrtyeSi.<br />
2. simetriulia y-RerZis mimarT.<br />
3. M(0,0) wertili parabolis `uRrme<br />
si~ wertilia. mas parabolis<br />
wvero ewodeba.<br />
mdebareobs Tu ara y=x 2 formuliT mocemul funqciis grafikze<br />
wertili: a) M(–2 ,12), b) N(3,1; 9,51).<br />
-2<br />
y<br />
4<br />
3<br />
b<br />
2<br />
1<br />
nax. 2<br />
1 a<br />
(a;b), b=a 2<br />
2<br />
3<br />
x<br />
nax. 1<br />
daamzadeT parabolis<br />
Sabloni da<br />
gamoiyeneT SemdgomSi<br />
dasaxazad.<br />
f(x) = x 2<br />
f(–x) = (–x) 2 = x 2<br />
funqcias, romlis<br />
grafiki simetriulia<br />
y RerZis mimarT,<br />
luw funqcias uwodeben,<br />
e.i. y=x2 luwi<br />
funqciaa.<br />
21
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