The function h(x) = x2 + 14x + 41 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for h(x)

please can someone create an actual box

a)h(x) = (x + 7)^2 – 9vertexis at (-7, -9) and it is aminimum.axis of symmetryis x = -7How to rewrite the parabola equation?parabola equation:complete squaresfirst, notice that if we add and subtract 8 we will get:parabolainvertex formis:parabolais (-7, -9)axis of symmetryis a vertical line such that x is equal to the x-value of the vertex, then theaxis of symmetryis:parabolas: