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Verified answer
A(1 , 4) ; B(0 , 3) ; C(-1 , 6)Melalui A dan B
y - 4 = x - 1
y = x + 3
f(x) = a(x - 1)(x) + x + 3
Melalui C
f(x) = a(-1 - 1)(-1) -1 + 3
6 = 2a + 2
a = 2
f(x) = 2(x² - x) + x + 3
f(x) = 2x² - x + 3
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Grafik
1. Kurva tidak memotong sumbu x
Karena
D = b² - 4ac
D = (-1)² - 4(2)(3)
D = 1 - 24
D = -23
D < 0 , tidak memotong sumbu x
2. Memotong sumbu y , x = 0
2(0)² - 0 + 3 = 3
(0 , 3)
3. Pers. Sumbu Simetri
x = -b/2a
x = -(-1) / 2(2)
x = ¼
x = 0,25
4. Titik balik
(-b/2a , -D/4a)
= (0,25 , -(-23)/4(2))
= (0,25 , 2,875)
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