Pertanyaan

Jika diketahui fungsi kuadrat f ( x ) = x 2 − 6 x + 9 , tentukanlah: g. Titik puncak maksimum/ minimum P ( x , y )

Jika diketahui fungsi kuadrat $f (x) = x^{2} - 6 x + 9$ , tentukanlah:

g. Titik puncak maksimum/ minimum $P (x, y)$

R. RGFLLIMA

Master Teacher

Jawaban terverifikasi

Jawaban

i, titik puncakfungsi kuadrat adalah

i, titik puncak fungsi kuadrat straight f left parenthesis straight x right parenthesis equals straight x squared minus 6 straight x plus 9

adalah

P left parenthesis 3 comma space 0 right parenthesis

Pembahasan

Bentuk umum fungsi kuadrat. Titik puncak: Untuk Maka: Jadii, titik puncakfungsi kuadrat adalah

Bentuk umum fungsi kuadrat.

straight f left parenthesis straight x right parenthesis equals ax squared plus bx plus straight c

Titik puncak: $left parenthesis x subscript p comma space y subscript p right parenthesis equals open parentheses negative fraction numerator b over denominator 2 a end fraction comma space minus fraction numerator b squared minus 4 a c over denominator 4 a end fraction close parentheses$

Untuk straight f left parenthesis straight x right parenthesis equals straight x squared minus 6 straight x plus 9

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell text (x end text subscript straight p comma space straight y subscript straight p right parenthesis end cell equals cell open parentheses negative fraction numerator straight b over denominator 2 straight a end fraction comma space minus fraction numerator straight b squared minus 4 ac over denominator 4 straight a end fraction close parentheses end cell row blank equals cell open parentheses negative fraction numerator negative 6 over denominator 2 times 1 end fraction comma space minus fraction numerator left parenthesis negative 6 right parenthesis squared minus 4 times 1 times 9 over denominator 4 times 1 end fraction close parentheses end cell row blank equals cell open parentheses 6 over 2 comma space minus fraction numerator 36 minus 36 over denominator 4 end fraction close parentheses end cell row blank equals cell open parentheses 3 comma space 0 close parentheses end cell end table$

Jadii, titik puncak fungsi kuadrat straight f left parenthesis straight x right parenthesis equals straight x squared minus 6 straight x plus 9 adalah P left parenthesis 3 comma space 0 right parenthesis