Perhatikan grafik fungsi f (x) = 8 – 2x – x² di bawah ini. Koordinat titik baliknya adalah ​

Perhatikan grafik fungsi f (x) = 8 – 2x – x² di bawah ini. Koordinat titik baliknya adalah ​

(-1, 9)

 

Penjelasan dengan langkah-langkah:

f (x) = 8 – 2x – x²

f(x) = -x² – 2x + 8

a = -1, b = -2, c = 8

• sumbu simetri

x = -b/2a

= -(-2)/2.(-1)

= 2/(-2)

= -1

• nilai optimum

y = f(-1) = -(-1)² – 2(-1) + 8

= -1 + 2 + 8

= 9

• titik balik (x,y) = (-1, 9)

 

 

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