The function is already in the standard form of a quadratic function, so we don't need to convert anything.
To reiterate, the standard form of a quadratic function is ax^2 + bx + c, where x represents the variable, and a, b, and c are coefficients. The order from high to low degree of x (x squared, x, and no x) is important.
If we examine the given function f(x) = 3x²-12x+8, we can see that it is indeed in the standard form:
- The term with the highest degree of x is 3x² (which is in the ax^2 form),
- Followed by -12x (which is in the bx form),
- And finally we have the constant term 8 (which is in the c form).
Given this, we don't need to do any conversion and the function in the standard form is f(x) = 3x²-12x+8.