Przesunięcie funkcji potęgowej

Project ID: 
6000000055
Accepted: 
Typ: 
Layout: 
Question: 
Dopasuj podane wykresy do odpowiadających im funkcji.
Questions Title: 
Wykresy:
Answers Title: 
Funkcje:
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$f(x)=\frac{-2+(x+3)^3}{-2}$

Question 2: 
{\obrB}
Question 2 Image: 
Answer 2: 

$f(x)=\frac{-1}{(x-3)^3}+1$

Question 3: 
{\obrC}
Question 3 Image: 
Answer 3: 

$f(x)=\frac{-1}{x^2+2x+1}+3$

Question 4: 
{\obrD}
Question 4 Image: 
Answer 4: 

$f(x)=(x-1)^3-1$

Question 5: 
{\obrE}
Question 5 Image: 
Answer 5: 

$f(x)=\frac2{(x-1)^2}+3$

Question 6: 
{\obrF}
Question 6 Image: 
Answer 6: 

$f(x)=\frac1{(x-3)^3}-1$

Tex: 
% tiket 32792 \NastavOD{3} \def\obrA{\obrMsr[x=0.4cm,y=0.4cm]{-6}{4}{-6}6 { \footnotesize \obrClip \draw[gray!30, thin, step=1] (-6,-6) grid (4,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-5,-3,-1,1,3} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce{(-2+((\x)+3)^3)/(-2)} }} \def\obrB{\obrMsr[x=0.4cm,y=0.4cm]{-2}{8}{-6}6 { \footnotesize \obrClip \draw[gray!30, thin, step=1] (-2,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=-2:2.5]{(-1)/((\x)-3)^3+1} \obrFce[domain=3.25:8]{(-1)/((\x)-3)^3+1} }} \def\obrC{\obrMsr[x=0.4cm,y=0.4cm]{-6}{4}{-6}6 { \footnotesize \obrClip \draw[gray!30, thin, step=1] (-6,-6) grid (4,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-5,-3,-1,1,3} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=-6:-1.25]{(-1)/((\x)^2+2*(\x)+1)+3} \obrFce[domain=-0.75:4]{(-1)/((\x)^2+2*(\x)+1)+3} }} \def\obrD{\obrMsr[x=0.4cm,y=0.4cm]{-4}{6}{-6}6 { \footnotesize \obrClip \draw[gray!30, thin, step=1] (-4,-6) grid (6,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-3,-1,1,2,3,5} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce{((\x)-1)^3-1} }} \def\obrE{\obrMsr[x=0.4cm,y=0.4cm]{-4}{6}{-2}{10} { \footnotesize \obrClip \draw[gray!30, thin, step=1] (-4,-2) grid (6,10); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4} \obrPopisY[left]{2,4,6,8} \obrZnackyX{-3,-1,1,2,3,5,7,9} \obrZnackyY{-1,1,3,5,7} \obrFce[domain=6:1.25]{2/((\x)-1)^2+3} \obrFce[domain=0.75:-4]{2/((\x)-1)^2+3} }} \def\obrF{\obrMsr[x=0.4cm,y=0.4cm]{-2}{8}{-6}{6} { \footnotesize \obrClip \draw[gray!30, thin, step=1] (-2,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=8:3.25]{1/((\x)-3)^3-1} \obrFce[domain=2.75:-2]{1/((\x)-3)^3-1} }}