How do you find a vertex in quadratic function?

Answer 1

Easier to show you a simple example as I forget the formulaic approach.

X2 + 4X - 6 = 0

add 6 to each side

x2 + 4X = 6

Now, halve the linear term ( 4 ), square it and add it to both sides

X2 + 4X + 4 = 6 + 4

gather the terms on the right side and factor the left side

(X + 2)2 = 10

subtract 10 from each side

(X + 2)2 - 10 = 0

(- 2, - 10 )

-------------------the vertex of this quadratic function