Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)

Result

a =  6
b =  -3
c =  1

#### Solution:

a*(-1)^2+b(-1)+c=10
a*(2)^2+b(2)+c=19
a*(1)^2+b(1)+c=4

a-b+c = 10
4a+2b+c = 19
a+b+c = 4

a = 6
b = -3
c = 1

Calculated by our linear equations calculator.
$f(x)=ax^2 = bx+c = 6x^2-3x+1$

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