y = x
2 + 6x + 4 Axis of Symmetry: Vertex:
Sketch:

Step-by-step explanation:

Here the coefficients of this quadratic are a = 1, b = 6 and c = 4.

                                                -b

The axis of symmetry is x = -------- , which here is x = -6/2, or x = - 3.

                                                 2a

Use the given quadratic to find the vertical coordinate of the vertex:

y = (-3)^2 + 6(-3) + 4 = 9 - 18 + 4 = y = -5.

The axis of symmetry is x = -3, and the vertex is (-3, -5).