State whether the graph of the function is a parabola If the

State whether the graph of the function is a parabola. If the graph is a parabola, find the parabola\'s vertex. f(x) = x^2 + 4x + 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The graph of the function is a parabola. The vertex is (Type an ordered pair.) B. The graph of the function is not a parabola.

Solution

Yes, the graph of the given function is parabola.

Vertex of a parabola is the highest or lowest point in parabola.

y = (ax^2 + bx + c)

transform above equation in this form

y = a*(x - h)^2 + k

where (h, k) = vertex of parabola

givenequation is

y = x^2 + 4x + 3

y = (x^2 + 4x + 4) - 1

y = (x + 2)^2 - 1

h = -2, k = -1

vertex = (-2, -1)