Determining the Axis of Symmetry in the Quadratic Function 7x^2

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=7x^2$

To solve this problem, we'll follow these steps:

• Step 1: Identify the coefficients in the quadratic equation.
• Step 2: Apply the formula for the axis of symmetry.
• Step 3: Substitute the coefficients into the formula and solve.

Now, let's work through each step:
Step 1: The quadratic function given is $f(x) = 7x^2$ which can be written in the form $ax^2 + bx + c$. Here, $a = 7$, $b = 0$, and $c = 0$.
Step 2: We'll use the formula for the axis of symmetry: $x = -\frac{b}{2a}$.
Step 3: Substitute $a = 7$ and $b = 0$ in the formula:
$x = -\frac{0}{2 \times 7} = 0$ Therefore, the axis of symmetry for the quadratic function $f(x) = 7x^2$ is $x = 0$.

Therefore, the solution to the problem is $x = 0$, corresponding to choice #3.