Question

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

Answer 1

(-2,6) this is the coordinates of the vertex

Answer 2

The coordinates of the vertex are
`(-2, -6)`

Explanation:

The graph of this function is a parabola that opens up in the Cartesian plane. We can find like this:

`y = (x ^ 2 + 4x +4) +6 = (x + 2) ^ 2 +6`, where,
`(y - 6) = (x + 2) ^ 2`

In the canonical equation of the parabola:

`(y - k) = (x + h) ^ 2`, with the point (h, k) as the vertex,
`h = -2` and
`k = 6`.

Conclusion: the coordinates of the vertex are
`(-2, -6)`