Project ID:
6000000021
Accepted:
Type:
Layout:
Question:
\footnotesize Every quadratic function can be written in the standard form $f(x) = a(x+m)^2+n$, with coefficients (real numbers) $a$, $m$ and $n$, where $a$ is not equal to zero. Match each graph with the right properties of the coefficients of the corresponding quadratic function.
Questions Title:
Graphs:
Answers Title:
Properties of the Coefficients:
Question 1 Image:
Answer 1:
$a>0\wedge m=0$
Question 2 Image:
Answer 2:
$a > 0\wedge n=0$
Question 3 Image:
Answer 3:
$a < 0\wedge m < 0\wedge n > 0$
Question 4 Image:
Answer 4:
$a > 0\wedge m < 0\wedge n < 0$
Question 5 Image:
Answer 5:
$a > 0\wedge m < 0\wedge n > 0$
Question 6 Image:
Answer 6:
$a > 0\wedge m > 0\wedge n < 0$
Tex:
%tiket 32299
\NastavOD{3}
\NastavOT{3}
\otazka{\obrA}{$a>0\wedge m=0$}
\otazka{\obrB}{$a > 0\wedge n=0$}
\otazka{\obrC}{$a < 0\wedge m < 0\wedge n > 0$}
\otazka{\obrD}{$a > 0\wedge m < 0\wedge n < 0$}
\otazka{\obrE}{$a > 0\wedge m < 0\wedge n > 0$}
\otazka{\obrF}{$a > 0\wedge m > 0\wedge n < 0$}
\def\delka{0.35cm}
\def\obrA{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-2}{6}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{-1,1}
\obrZnackyY{-1,1,3,5}
\obrPopisX[below]{-2,2}
\obrPopisY[left]{2,4}
\obrFce{(\x)^2+3}
}
}
\def\obrB{
\obrMsr[x=\delka,y=\delka]{-5}{2}{-2}{6}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{-3,-1,1}
\obrZnackyY{-1,1,3,5}
\obrPopisX[below]{-4,-2}
\obrPopisY[left]{2,4}
\obrFce{((\x)+3)^2}
}
}
\def\obrC{
\obrMsr[x=\delka,y=\delka]{-2}{7}{-3}{4}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{-1,1,3,5}
\obrZnackyY{-1,1,3}
\obrPopisX[below]{2,4,6}
\obrPopisY[left]{-2,2}
\obrFce{-((\x)-3)^2+2}
}
}
\def\obrD{
\obrMsr[x=\delka,y=\delka]{-2}{7}{-3}{4}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{-1,1,3,5}
\obrZnackyY{-1,1,3}
\obrPopisX[below]{2,4,6}
\obrPopisY[left]{-2,2}
\obrFce{((\x)-3)^2-2}
}
}
\def\obrE{
\obrMsr[x=\delka,y=\delka]{-2}{6}{-3}{5}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{-1,1,3,5}
\obrZnackyY{-1,1,3}
\obrPopisX[below]{2,4}
\obrPopisY[left]{-2,2,4}
\obrFce{((\x)-3)^2+2}
}
}
\def\obrF{
\obrMsr[x=\delka,y=\delka]{-6}{2}{-3}{4}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{1,-1,-3,-5}
\obrZnackyY{-1,1,3}
\obrPopisX[below]{-4,-2}
\obrPopisY[left]{-2,2}
\obrFce{((\x)+3)^2-2}
}
}