Answer:
axis of symmetry, x = - 2
Explanation:
Given the quadratic function, f(x) = x² + 4x + 6:
where a = 1, b = 4, and c = 6.
Every parabola is symmetric about its axis, which means that if it were folded along its axis, the two parts would match. The fold or line that divides the parabola into two matching halves is called the axis of symmetry. The highest or lowest point of a parabola is its vertex, which is on the axis of symmetry, x = h.
The x-coordinate of the axis of symmetry is: x = -b/2a
Substitute the given values into the formula:
x = -b/2a = -4/2(1) = -4/2 = -2
Therefore, the axis of symmetry, x = - 2