Solve for the Symmetrical Axis in the Quadratic f(x) = -2x² + 16

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

• Step 1: Identify the coefficients $a$ and $b$.
• Step 2: Apply the symmetry axis formula.
• Step 3: Simplify the expression to find the solution.

Now, let's work through each step:

Step 1: From the quadratic function $f(x) = -2x^2 + 16$, we identify the coefficients: $a = -2$ and $b = 0$.

Step 2: Using the formula for the axis of symmetry, $x = -\frac{b}{2a}$, we substitute the identified coefficients:

$x = -\frac{0}{2(-2)}$.

Step 3: Simplifying the expression, we have:

$x = 0$.

Therefore, the solution to the problem is the axis of symmetry: $x = 0$.