Answer:
[tex]x=-\frac{b}{2a}[/tex]
Step-by-step explanation:
we know that
The quadratic equation [tex]y=ax^{2}+bx+c[/tex] is a vertical parabola
The axis of symmetry in a vertical parabola is a vertical line
The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is equal to the formula
[tex]x=-\frac{b}{2a}[/tex]
therefore
the equation of the axis of symmetry is equal to [tex]x=-\frac{b}{2a}[/tex]
