Question

which equation is the axis of symmetry of a quadratic function in standard form? choose the correct answer below. a. $y = c$ b. $f(x)=ax^{2}+bx + c$ c. $x = -\frac{b}{2a}$

Explanation:

Step1: Recall standard quadratic form

The standard form of a quadratic function is $f(x)=ax^2+bx+c$ where $a
eq0$.

Step2: Identify axis of symmetry formula

The vertical line that divides the parabola (graph of quadratic) into two symmetric halves is given by $x=-\frac{b}{2a}$.

Step3: Eliminate incorrect options

Option A is the y-intercept, Option B is the standard quadratic function itself, not the axis of symmetry. Only Option C matches the axis of symmetry formula.

Answer:

C. $x=-\frac{b}{2a}$