The answer is 3x^2 - 2x + 5.
<u />
<u>Step-by-step explanation:</u>
The value of x is given by f(x), the quadratic equation is given by:
3x^2 - 2x + 5
Substituting all the values of x in the equation
If x = -2 in the quadratic equation , 3x^2 - 2x + 5
3(-2)^2 - 2(-2) + 5
3(4) + 4 + 5 = 21
Again, substituting x= -1 in the same equation, we have
3(-1)^2 - 2(-1) + 5
3 + 2 + 5 = 10
Putting x=0,
3(0)^2 - 2(0) + 5 = 0
Putting x=1,
3(1)^2 - 2(1) + 5
3 - 2 + 5 = 6
Putting x=2,
3(2)^2 - 2(2) + 5
3(4) - 4 + 5 = 13
Hence, the quadratic equation which is represented by the table is
3x^2 - 2x + 5