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

Question

asked Dec 6, 2018 219k views

2 Answers

Shadowfool · Answer 1 · 2018-12-11T09:43:15+0000

Answer:

x=-(b)/(2a)

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=-(b)/(2a)

therefore

the equation of the axis of symmetry is equal to
x=-(b)/(2a)