whats the axis of symmetry

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

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# 2 Answers

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

**x**

^{2}+6x + 6The standard form of a quadratic function is y =

**a**x^{2}+**b**x +**c**In your example

**1**x^{2}+**6**x +**6**,**a**=1,**b**=6, and**c**=6The

**axis of symmetry**of a quadratic function is a line that passesthrough the

**vertex (h,k)**of the graph, and divides the graphinto two parts that are mirror images of each other. The x value

h = -b = -6 =-3

2a 2(1)

2a 2(1)

The axis of symmetry is

**x = -3.**The axis of symmetry passes through the vertex. Therefore,

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