Answer: A quadratic function is a polynomial function of form f(x) = ax^2 + bx + c where a,b, and c are constants, and a is not equal to zero.
The given functions are:
8 - 5x = 4(3x - 1)
(4a + 2)(2a - 1) + 1 = 0
2y + 2(3y - 5) = 0
2b(b - 7) + b = 0
The quadratic function(s) among them are:
2. (4a + 2)(2a - 1) + 1 = 0
2b(b - 7) + b = 0
The first one 8 - 5x = 4(3x - 1) is linear and not a quadratic function, and the third one 2y + 2(3y - 5) = 0 is also linear, not a quadratic function.
Note that to identify a quadratic function, we can look for the pattern of x^2 or y^2 in the equation.
Also, we could expand the second degree polynomials in the form (ax^2+bx+c) and check if there are x^2 or y^2 term on both sides of the equation.
Explanation: