Final answer:
The values of the coefficients and constant in the quadratic function, f(x) = x^2 - 5x + 6, are a = 1, b = -5, and c = 6. Therefore, the correct answer is option a.
Step-by-step explanation:
The quadratic function provided is f(x) = x^2 - 5x + 6. The standard form of a quadratic equation is ax^2 + bx + c = 0. To identify the coefficients and constant in the function provided, we match the terms with the standard form. Comparing the function to the standard form, the coefficient a is the number in front of the x^2 term, the coefficient b is the number in front of the x term, and the constant c is the term without the variable x.
For the function f(x) = x^2 - 5x + 6, the coefficient a equals 1 (since there is no number, it is implied to be 1), the coefficient b equals -5, and the constant c equals 6. Therefore, the correct option is a. Q = 1, b = -5, c = 6.