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

Question

Given the expression of the quadratic function

The symmetrical axis of the expression must be found.

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

00:00 Find the axis of symmetry for the function

00:03 The axis of symmetry is the X value at the vertex point

00:06 The point where if you fold the parabola in half, both halves are identical

00:10 Let's examine the function's coefficients

00:24 We'll use the formula to calculate the vertex point

00:30 We'll substitute appropriate values according to the given data and solve for X at the point

00:41 And this is the solution to the question

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

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 $x = -2$ .

$x=-2$