Question

How do you write `f(x) = x^2 + 14x +45` in vertex form?

Answer 1

`f(x) = (x + 7)^2 - 4`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = - 14/2 = - 7`
y-coordinate of vertex:
`f(-7) = 49 - 98 + 45 = - 4`
Vertex form of f(x) :
`f(x) = (x + 7)^2 - 4`