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

Answer:

          vertex form:    y = (x + 3)² + 1

          the vertex is minimum

          coordinates of the vertex:  (-3, 1)

Step-by-step 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)