Question

Find the vertex of the function f (x) = x^2+6x-2

Answer 1

X - Vertex

`-(6)/(2(1)) = -(6)/(2) = -3`

Y - Vertex

`f(x) = x^(2) + 6x - 2 \\f(-3) = (-3)^(2) + 6(-3) - 2 \\f(-3) = 9 - 18 - 2 \\f(-3) = -9 - 2 \\f(-3) = -11`

Vertex
(x, y) = (3, -11)

Answer 2

f(x)=x^2+6x-2, vertex: (-3, -11)
First, put -(6)/2(1) or -b/2a.
You then get -3 as the X value of the vertex.
Next, insert -3 back into the equation to get the Y value of the vertex.
(-3)^2+6(-3)-2 = -11
You then have -11 as the Y value of the vertex.