Finding the Axis of Symmetry in the Quadratic Equation f(x) = 3x^2 + 2

A quadratic equation is graphed below.

What is the axis of symmetry for the graph $f(x)=3x^2+2$?

To determine the axis of symmetry for the function $f(x) = 3x^2 + 2$, we follow these steps:

• Identify the coefficients from the function. Here, $a = 3$ and $b = 0$. The constant term $c = 2$ does not affect the axis of symmetry.
• Use the axis of symmetry formula for a quadratic function: $x = -\frac{b}{2a}$.
• Substitute the values for $b$ and $a$ into the formula: $x = -\frac{0}{2 \times 3} = 0$.

This calculation shows that the axis of symmetry for the graph of the quadratic function is $x = 0$.

Thus, the solution to the problem is that the axis of symmetry is $x = 0$.