Given the quadratic function below, answer the following questions. x2+6x+9 How many solutions are there to this quadratic function? What is the vertex of this parabola?
This quadratic function is a perfect square trinomial, as it can be factored into (x+3)(x+3) or (x+3)^2.
1. Number of solutions: There is only one solution for this quadratic function, since the trinomial is a perfect square and the two factors are the same.
2. Vertex: The vertex of this parabola is the point (-3, 0), since the x-coordinate of the vertex is the opposite of the constant term in the factored form of the trinomial.