Question 188526
To find the vertex, we need to find the value of x and y.

To find x, we use the formula x = -b/2a

We were given y = x^2 + 6x + 8

In the above function, a = 1 and b = 6

We plug that into the the formula given to find the value of x.

x = -b/2a

x = -6/2(1)

x = -6/2

x = -3

To find the value of y, we plug that value of x into the given function and solve for y.

y = (-3)^2 + 6(-3) + 8

y = 9 - 18 + 8

y = -9 + 8

y = -1

The vertex is the point (-3, -1).  

By the way, this is a parabola opening upward.