Question

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Answer 1

Verified answer

Bab Fungsi
Matematika SMP Kelas VIII

f(x) = ax² + bx + c

f (0) = 1
a . 0² + b . 0 + c = 1
c = 1

f(1) = 2
a . 1² + b . 1 + c = 2
a + b + 1 = 2
a + b = 2 - 1
a + b = 1

f(3) = 10
a . 3² + b . 3 + c = 10
9a + 3b + 1 = 10
9a + 3b = 10 - 1
9a + 3b = 9
3a + b = 3

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3a + b = 3
  a + b = 1
---------------- - 
      2a = 2
        a = 1

a + b = 1
1 + b = 1
      b = 1 - 1
      b = 0

f(x) = ax² + bx + c
      = 1 . x² + 0 . x + 1
      = x² + 1
      = 1 + x²