Question

Quiz math

Jika untuk fungsi kuadrat berlaku dan mempunyai nilai maksimum 1, maka

Answer 1

Jawaban:

misal

f(x) = ax² + bx + c

f(1) = a(1)² + b(x) + c

0 = a + b + c ... pers 1.

f(3) = a(3)² + b(3) + c

0 = 9a + 3b + c ... pers 2

f'(x) = 2ax + b

nilai max = D/- 4a

1 = (b² - 4ac) / - 4a

- 4a = b² - 4ac ... pers 3

elemenasi pers 1 & 2

a + b + c = 0

9a + 3b + c = 0

------------------------- -

- 8a - 2b = 0

2b = - 8a

b = - 4a

subtitusi pd pers 3

b = b² + bc

b = b(b + c)

1 = b + c

subtitusi pd pers 1

a + b + c = 0

a + 1 = 0

a = - 1

b = - 4a

b = - 4(-1)

b = 4

1 = b + c

1 = 4 + c

c = 1 - 4

c = - 3

f(x) = ax² + bx + c

f(x) = - x² + 4x - 3

Answer 2

Jawab:

f(x) = -x² + 4x - 3

Penjelasan dengan langkah-langkah:

Lampiran