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Hakan (diskussion | bidrag) (Skapade sidan med '# Vi har <math>f(x) = x^2 + 2x + 1</math>. ## Bestäm <math>f(5)</math> ## Bestäm <math>f(a-3)</math> # Bestäm parabelns ekvation utifrån grafen nedan. <ggb_applet width...') |
Hakan (diskussion | bidrag) Ingen redigeringssammanfattning |
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| Rad 2: | Rad 2: | ||
## Bestäm <math>f(5)</math> | ## Bestäm <math>f(5)</math> | ||
## Bestäm <math>f(a-3)</math> | ## Bestäm <math>f(a-3)</math> | ||
# Bestäm parabelns ekvation utifrån grafen nedan. | # Bestäm parabelns ekvation utifrån grafen nedan. <ggb_applet width="431" height="324" version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /># Har <math>y(x) = -4x^2 - 2x + 1</math> några nollställen? | ||
<ggb_applet width="431" height="324" version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /> | |||
# Har <math>y(x) = -4x^2 - 2x + 1</math> några nollställen? | |||
## Har kurvan max- eller minpunkt? | ## Har kurvan max- eller minpunkt? | ||
## Vad har den för symmetrilinje? | ## Vad har den för symmetrilinje? | ||
Versionen från 24 april 2012 kl. 21.28
- Vi har [math]\displaystyle{ f(x) = x^2 + 2x + 1 }[/math].
- Bestäm [math]\displaystyle{ f(5) }[/math]
- Bestäm [math]\displaystyle{ f(a-3) }[/math]
- Bestäm parabelns ekvation utifrån grafen nedan. <ggb_applet width="431" height="324" version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" /># Har [math]\displaystyle{ y(x) = -4x^2 - 2x + 1 }[/math] några nollställen?
- Har kurvan max- eller minpunkt?
- Vad har den för symmetrilinje?