Fungsi kuadrat

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Penyelesaian Fungsi Kuadrat dengan Excel September 6th, 2008 by aurino | No Comments | Filed in Algebra, Function, quadratic equations

Penyelesaian Fungsi Kuadrat
Selesaikan fungsi sebagai berikut:
2 x^2 + 3 x – 9
Masukkan Koefisien a,b,c dibawah ini:
A B c
2 3 -9

Penyelesaian Hasil Rumus

Discriminant 81 =B6^2-4*A6*C6

Number of real roots Two =IF(C9<0,”None”,IF(C9=0,”one”,”Two”))

Akar 1 1.5 =IF(C9>=0,(-B6+SQRT(C9))/(2*A6),”Not Real”)

Akar 2 -3 =IF(C9>0,(-B6-SQRT(C9))/(2*A6),IF(C8<0,”Not Real”,”"))
Download file excel

Tags: aljabar, equation solving, excel, fungsi kuadrat
Soal Fungsi Kuadrat
August 24th, 2008 by aurino | No Comments | Filed in Algebra

Perhatikan grafik berikut. Persamaan kuadrat yang sesuai dengan

grafik di samping adalah ….

A. y = –x2 – 2x – 3

b. y = –x2 + 2x + 3

C. y = –x2 – 2x + 3

D. y = x2 + 2x + 3

E. y = x2 – 2x – 3

Pembahasan

Fungsi kuadrat yang mempunyai puncak P (k, l) serta melalui titik A (x,y)

mempunyai persamaan y = a (x – k)2 + l.

P (1,4) dan A (2,3)

3 = a (2 – 1)2 + 4

3 = a . 1 + 4

3 = a + 4

a = –1

y = –1 (x – 1)2 + 4

= –1 (x2 – 2x + 1) + 4

= –x2 + 2x – 1 + 4

= –x2 + 2x + 3

Maka y = –x2 + 2x + 3

Tags: fungsi kuadrat, grafik, Soal

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