The graph p(x) = x² + 6 is a parabola. The equation can also be written as y = x² + 6.
A parabola follows the standard equation y = a (x - h)² + k where the vertex is (h,k).
From our equation y = x² + 6, we can convert this into a standard form which is y = 1 (x - 0)² + 6. Please take note that this standard form is just equal to the given equation.
From this converted standard form y = 1 (x - 0)² + 6, we can see that our h = 0, and our k = 6, therefore, our vertex is found at point (0,6).
