whats the axis of symmetry for y=x^2+6x+6

Question

whats the axis of symmetry

Answer 1

Just to expand a little bit on Robert's answer:

 

x²+6x + 6

 

The standard form of a quadratic function is y = ax² + bx + c

 

In your example 1x²+6x + 6,  a=1, b=6, and c=6

 

The axis of symmetry of a quadratic function is a line that passes

through the vertex (h,k) of the graph, and divides the graph

into two parts that are mirror images of each other. The x value

h = -b    =   -6   =-3
      2a       2(1)

 

The axis of symmetry is x = -3.

 

Answer 2

The axis of symmetry passes through the vertex. Therefore,

Since h = -b/(2a) = -6/2 = -3, the axis of symmetry is x = -3.

 

 

Answer 3

 Axis of Symmetry of a quadratic     

 

      aX² + bX + c    is vertical line of    X = -b/2a