Power Function with Rational Exponent Translation

Project ID: 
6000000059
Accepted: 
Type: 
Layout: 
Question: 
Every function whose graph is shown in the figures is given by an equation $f(x)=a\sqrt{x+b}+c$, where $a$, $b$, $c$ are integers. Match each graph with an ordered triple $[a;b;c]$ that specifies the equation of the corresponding function.
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$[1;1;-2]$

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

$[-1;0;2]$

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

$[-1;2;0]$

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

$[-1;-1;2]$

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

<p>$[1;-2;1]$</p>

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

$[1;-1;-2;]$

Tex: 
% tiket 32810 \NastavOD{3} \def\obrA{\obrMsr[x=0.4cm,y=0.4cm,]{-3}8{-6}6 { \footnotesize \obrClip \draw[gray!30,thin,step=1] (-3,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=-1:-0.9]{((\x)+1)^(1/2)-2} \obrFce[domain=-0.9:8]{((\x)+1)^(1/2)-2} }} \def\obrB{\obrMsr[x=0.4cm,y=0.4cm,]{-3}8{-6}6 { \footnotesize \obrClip \draw[gray!30,thin,step=1] (-3,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=0:0.1]{-(\x)^(1/2)+2} \obrFce[domain=0.1:8]{-(\x)^(1/2)+2} }} \def\obrC{\obrMsr[x=0.4cm,y=0.4cm,]{-3}8{-6}6 { \footnotesize \obrClip \draw[gray!30,thin,step=1] (-3,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=-2:-1.9]{-((\x)+2)^(1/2)} \obrFce[domain=-1.9:8]{-((\x)+2)^(1/2)} }} \def\obrD{\obrMsr[x=0.4cm,y=0.4cm,]{-3}8{-6}6 { \footnotesize \obrClip \draw[gray!30,thin,step=1] (-3,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=1:1.1]{-((\x)-1)^(1/2)+2} \obrFce[domain=1.1:8]{-((\x)-1)^(1/2)+2} }} \def\obrE{\obrMsr[x=0.4cm,y=0.4cm,]{-3}8{-6}6 { \footnotesize \obrClip \draw[gray!30,thin,step=1] (-3,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=2:2.1]{((\x)-2)^(1/2)+1} \obrFce[domain=2.1:8]{((\x)-2)^(1/2)+1} }} \def\obrF{\obrMsr[x=0.4cm,y=0.4cm,]{-3}8{-6}6 { \footnotesize \obrClip \draw[gray!30,thin,step=1] (-3,-6) grid (8,6); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2,4,6} \obrPopisY[left]{-4,-2,2,4} \obrZnackyX{-1,1,3,5,7} \obrZnackyY{-5,-3,-1,1,3,5} \obrFce[domain=1:1.1]{((\x)-1)^(1/2)-2} \obrFce[domain=1.1:8]{((\x)-1)^(1/2)-2} }}