Final answer:
The standard form of a quadratic function is represented by the equation y = ax^2 + bx + c, where 'a' is the leading coefficient, 'c' is the constant, and the degree of the function is 2. Thus, the correct answer is 'd) a, d, f'.
Step-by-step explanation:
The student's question pertains to recognizing which statements apply to the standard form of a quadratic function. A quadratic function is typically expressed as y = ax^2 + bx + c, where 'a' is known as the leading coefficient, 'b' is the second coefficient, and 'c' is the constant. The degree of a quadratic function is always 2 because the highest exponent of 'x' in the equation is 2.
Based on the given options:
- (a) Standard Form - this is correct, as 'y = ax^2 + bx + c' represents the standard form of a quadratic function.
- (b) y=ax^2+ bx + c - this statement correctly describes the standard form equation of a quadratic.
- (c) b is the leading coefficient - this is incorrect, as 'a' is the leading coefficient.
- (d) a is the leading coefficient - this statement is correct.
- (e) c is the constant - this is true, 'c' represents the constant term in the equation.
- (f) The degree of a quadratic function is 2 - this is also true since the highest power of 'x' is 2 in a quadratic equation.
Therefore, the correct combination of statements is (a), (b), (d), (e), (f), which corresponds to the options presented as 'd) a, d, f'