Question

Persamaan grafik fungsi kuadrat pada gambar di atas adalah....
A y=-x-3-1
D. y=-x-3-1
B. y=-x-3)2+1
E. y=x+3)-1
C. y=-x-3)²+1​

Answer 1

Verified answer

D. -⅓(x - 3)² - 1

Penjelasan dengan langkah-langkah:

P = (3, -1)

A = (0, -4)

[tex]ya = a(xa - xp {)}^{2} + yp \\ - 4 = a(0 - 3 {)}^{2} + ( - 1) \\ - 4 = 9a - 1 \\ 9a = -3 \\ a = - \frac{3}{9} = -\frac{1}{3} \\ [/tex]

[tex]y = - \frac{1}{3} (x - 3 {)}^{2} - 1 \\ y = -\frac{1}{3} ( {x}^{2} - 6x + 9) - 1 \\ -\frac{1}{3 } {x}^{2} + 2x - 4 = 0 \\ {x}^{2} + 6x - 12 = 0[/tex]