Question

How do I use the vertex formula to determine the vertex of the graph of the function and write it in standard form for `f(x) = x^2+4x+6`?

Answer 1

Vertex form: `f(x) = a(x -b/2a)^2 + f(-b/2a)`

`(-b/2a) = -4/2 = -2`

f(-2) = 4 - 8 + 6 = 2

Vertex form:`f(x) = (x + 2)^2 + 2`