math question 4a?

Question

with the following function: f(x) = x^2 + 4x + 1 find h, the x-coordinate of the vertex of this parabola.

thank you

Answer 1

f(x) = x² + 4x + 1
f(x) = (x² + 4x + 4) + 1 - 4
f(x) = (x + 2)² - 3

h is -2, and k is -3
vertex is (-2, -3)