Question

Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answer 1

vertex form: y = (x + 3)² + 1

the vertex is minimum

coordinates of the vertex: (-3, 1)

Explanation:

`y=x^2+6x+10\\\\y=x^2+6x+9-9+10\\\\\bold{y=(x+3)^2+1}`

a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex

So, from y = (x + 3)² + 1 the vertex is: (-3, 1)