Question

What is the equation of the axis of symmetry of the graph of y=ax^2+bx+c

Answer 1

That would be x=-b/(2a)
that sounds crazy but it works

for all y=ax²+bx+c, the axis of symmetry is $\frac{-b}{2a}$

Answer 2

Answer:

$x=-\frac{b}{2a}$

Step-by-step explanation:

we know that

The quadratic equation $y=ax^{2}+bx+c$ 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

$x=-\frac{b}{2a}$

therefore

the equation of the axis of symmetry is equal to $x=-\frac{b}{2a}$