Identify the Symmetrical Axis in the Quadratic: 2x^2 + 8x + 4

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

$f(x)=2x^2+8x+4$

To solve this problem, we'll apply the formula for the axis of symmetry of a quadratic function:

• Step 1: Recognize the function is $f(x) = 2x^2 + 8x + 4$.
• Step 2: Identify the coefficients: $a = 2$ and $b = 8$.
• Step 3: Use the axis of symmetry formula $x = -\frac{b}{2a}$.

Now, substituting the values of $a$ and $b$ into the formula:
$x = -\frac{8}{2 \times 2}$,
$x = -\frac{8}{4}$,
$x = -2$.

Therefore, the axis of symmetry for the given quadratic function is $x = -2$.