Question: Consider the function \[f(x)={{x}^{2}}+4x+1\].

a) Find h, the y-coordinate of the vertex of this parabola.

b) Find the x-coordinate of the vertex of this parabola.

b) Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table.

c) Use MS Excel to graph the function by plotting the points found in the table in part b.