Jawaban:

f(x) = 2x² - 10x + 12

f(x) = x² - 5x + 6

a = 1

b = -5

c = 6

a) Sumbu Simetri (xp)

xp = -b/2a

= -(-5)/2(1)

= 5/2

b) Nilai optimum (yp)

yp = f(xp)

= x² - 5x + 6

= (5/2)² -5(5/2) + 6

= 25/4 - 25/2 + 6

= 25/4 - 50/4 + 24/4

= -1/4

c) Titik Optimum

(xp, yp) = (5/2, -1/4)

d) Tipot sb-x (ketika y=0)

y = x² - 5x + 6

0 = (x - 3) (x - 2)

x = 3 atau x = 2

e) Tipot sb-y (ketika x=0)

y = x² - 5x + 6

y = 6

f) f(x) = x² - 5x + 6

f(3) = (3)² - 5(3) + 6

= 0

g) Bayangan x = -4

f(-4) = (-4)² - 5(-4) + 6

= 42

h) Nilai fungsi f(x) = 4

f(x) = x² - 5x + 6

4 = x² - 5x + 6

x² - 5x + 2 = 0

x² - 5x = -2

x² - 5x + (-5/2)² = -2 + (-5/2)²

(x - 5/2)² = -2 + 25/4

(x - 5/2)² = 17/4

x - 5/2 = ±√17/4

x = 5/2 ± 1/2 (√17)

x1 = 5/2 + 1/2 (√17)

x2 = 5/2 - 1/2 (√17)

i) Pembuat Nol Fungsi f(x) = 0

f(x) = x² - 5x + 6

0 = (x - 3) (x - 2)

pembuat nol

x - 3 = 0 atau x - 2 = 0

x = 3 atau x = 2

semoga membantu