Question

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?

Answer 1

`f(x) = (x+1)^2 +2`

Explanation:

Well you complete the square and get,

`x^2 + 2x + 1 ^2 - 1^2 +3`

Then you use the binomial formula to get,

(x + 1)^2 + 2

Thus,

f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.

Hope this helps :)