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}
}}