Graphen quadratischer Funktionen

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Exercise:
Skizziere den Graphen der folgen quadratischen Funktionen fx. Gib ausserdem die Koordinaten des Scheitelpunktes an. nprvmulticols abclist abc fx x^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx** + tikzpicture abc fx .x^ - tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick.*x** - tikzpicture abc fx -x^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick-x** + tikzpicture nprvcolumnbreak abc fx x-^ tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx-** tikzpicture abc fx x+^ tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx+** tikzpicture abc fx .x+^ tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick.*x+** tikzpicture nprvcolumnbreak abc fx x-^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx-** + tikzpicture abc fx x+^ - tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx+** - tikzpicture abc fx .x+^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick.*x+** + tikzpicture abc fx -x-^ - tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick-x-** - tikzpicture abclist nprvmulticols

Solution:
nprvmulticols abclist abc fx x^ + quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx^ + tikzpicture abc fx .x^ - quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick.*x^ - tikzpicture abc fx -x^ + quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick-x^ + tikzpicture columnbreak abc fx x-^quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx-^ tikzpicture abc fx x+^quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx+^ tikzpicture abc fx .x+^quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick.*x+^ tikzpicture columnbreak abc fx x-^ + quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx-^ + tikzpicture abc fx x+^ -quad hat S-- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx+^ - tikzpicture abc fx .x+^ + quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick.*x+^ + tikzpicture abc fx -x-^ -quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick-x-^ - tikzpicture abclist nprvmulticols
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\(\LaTeX\)-Code
Exercise:
Skizziere den Graphen der folgen quadratischen Funktionen fx. Gib ausserdem die Koordinaten des Scheitelpunktes an. nprvmulticols abclist abc fx x^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx** + tikzpicture abc fx .x^ - tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick.*x** - tikzpicture abc fx -x^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick-x** + tikzpicture nprvcolumnbreak abc fx x-^ tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx-** tikzpicture abc fx x+^ tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx+** tikzpicture abc fx .x+^ tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick.*x+** tikzpicture nprvcolumnbreak abc fx x-^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx-** + tikzpicture abc fx x+^ - tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thickx+** - tikzpicture abc fx .x+^ + tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick.*x+** + tikzpicture abc fx -x-^ - tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R % tkzFctblackvery thick-x-** - tikzpicture abclist nprvmulticols

Solution:
nprvmulticols abclist abc fx x^ + quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx^ + tikzpicture abc fx .x^ - quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick.*x^ - tikzpicture abc fx -x^ + quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick-x^ + tikzpicture columnbreak abc fx x-^quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx-^ tikzpicture abc fx x+^quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx+^ tikzpicture abc fx .x+^quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick.*x+^ tikzpicture columnbreak abc fx x-^ + quad hat S tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx-^ + tikzpicture abc fx x+^ -quad hat S-- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thickx+^ - tikzpicture abc fx .x+^ + quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick.*x+^ + tikzpicture abc fx -x-^ -quad hat S- tikzpicturescale. tkzInitxmin - xmax ymin- ymax tkzGrid tkzDrawXright labelx tkzDrawYabove labelfx tkzLabelXYstep tkzDefPos//M /-/Q //R tkzFctblackvery thick-x-^ - tikzpicture abclist nprvmulticols
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  1. Quadratische Funktionen I by pw
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graph, parabel, quadratische funktionen, scheitelpunktform
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GER (Deutsch)
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