Question

F(x) = (x+2)^2+4 . what are the coordinates of the vertex?

Answer 1

`(-2,\, 4)`.

Explanation:

To find the vertex of this parabola, start by rewriting it in the vertex form
`f(x) = a\, (x - h)^2 + k`.

Start with the original expression:

`f(x) = (x + 2)^2 + 4`.

Note that in the vertex form, the sign in front of
`h` should be a minus. However, in
`f(x) = (x + 2)^2 + 4`, the sign in front of
`2` is a plus. Since adding

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

Therefore:

• 
  `h = -2`,
• 
  `k = 4`.

Hence,
`(-2,\, 4)` is the vertex of this parabola.