Persamaan grafik fungsi kuadrat yang memotong sumbu x pada titik (2,0) dan (-4,0) serta memotong sumbu Y di titik (0,-8) adalah ....

$f left parenthesis x right parenthesis equals x squared plus 8 x plus 2$
$f left parenthesis x right parenthesis equals x squared minus 8 x plus 2$
$f left parenthesis x right parenthesis equals x squared minus 2 x plus 8$
$f left parenthesis x right parenthesis equals x squared plus 2 x minus 8$
$f left parenthesis x right parenthesis equals x squared minus 2 x minus 8$

Jawaban:

$Persamaan space fungsi space kuadrat space melalui space left parenthesis straight x subscript 1 comma 0 right parenthesis space dan space left parenthesis 0 comma straight x subscript 2 right parenthesis space adalah space straight y equals straight a open parentheses straight x minus straight x subscript 1 close parentheses open parentheses straight x minus straight x subscript 2 close parentheses. left parenthesis straight i right parenthesis space Maka space persamaan space fungsi space kuadrat space yang space melalui space titik space left parenthesis 2 comma 0 right parenthesis space dan space left parenthesis negative 4 comma 0 right parenthesis space space space space space space straight y equals straight a left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus left parenthesis negative 4 right parenthesis right parenthesis space space space space space space space space equals straight a left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 4 right parenthesis left parenthesis ii right parenthesis thin space Untuk space mencari space nilai space straight a comma space substitusikan space titik space yang space dilalui space yaitu space left parenthesis 0 comma negative 8 right parenthesis space ke space dalam space space space space space space persamaan space diatas comma space dengan space straight x equals 0 space dan space straight y equals negative 8 space space space space space minus 8 equals straight a left parenthesis 0 minus 2 right parenthesis left parenthesis 0 plus 4 right parenthesis space space space space space minus 8 equals straight a left parenthesis negative 2 right parenthesis left parenthesis 4 right parenthesis space space space space space minus 8 equals negative 8 straight a space space space space space space space space straight a equals 1 left parenthesis iii right parenthesis thin space Kemudian space masukan space nilai space straight a equals 1 space kedalam space persamaan space straight y space equals straight a left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 4 right parenthesis space space space space space space straight y equals 1 left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 4 right parenthesis space space space space space space straight y equals straight x squared minus 2 straight x plus 4 straight x minus 8 space space bold space bold space space space straight y equals straight x squared plus 2 straight x minus 8$

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