Project ID:
6000000010
Accepted:
Typ:
Layout:
Question:
K daným grafům kvadratických funkcí přiřaďte jejich předpisy.
Question 1 Image:
Answer 1:
$y=(x-2)^2$
Question 2 Image:
Answer 2:
$y=\frac 12 x^2-2x+2$
Question 3 Image:
Answer 3:
$y=(x+2)(x-2)$
Question 4 Image:
Answer 4:
$y=-(x^2+2)$
Question 5 Image:
Answer 5:
$y=(2+x)(2-x)$
Question 6 Image:
Answer 6:
$y=-x(x+4)$
Tex:
% http://math4u.vsb.cz/ticket/32298
\newcommand\graf[2][-5.5,5.5,-3.5,6.5]
{ % nepoviny parametr jsou meze pro kresleni, povinny parametr je funkcni predps
\obrMsr{#1}[8cm,5cm]{
\begin{scope}
\obrClip
\draw[help lines, step = 1] (-8,-8) grid (8.5,8.5);
\end{scope}
\obrOsy
\obrClip
\obrFce{#2}
\obrZnackyX{-5,...,5}
\obrZnackyY{-6,...,5}
\footnotesize
\obrPopisX{-2,-1,-3,-4,-5,1,2,3,4,5}
\obrPopisY[left,yshift=-3pt]{-5,-6,-4,-2,-1,-3,1,2,3,4,5}
}
}
\def\ObalkaOdpovedi#1{$y=#1$}
\otazka{\graf{(\x-2)^2}}{(x-2)^2}
\otazka{\graf{1/2*\x*\x-2*\x+2}}{\frac 12 x^2-2x+2}
\otazka{\graf[-4.5,6.5,-4.5,5.5]{(\x+2)*(\x-2)}}{(x+2)(x-2)}
\otazka{\graf[-4.5,6.5,-6.5,3.5]{-(\x*\x+2)}}{-(x^2+2)}
\otazka{\graf{(2+\x)*(2-\x)}}{(2+x)(2-x)}
\otazka{\graf{-\x*(\x+4)}}{-x(x+4)}