Question

Using the completing-the-square method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point.

Maximum at (2, –2)
Minimum at (2, –2)
Maximum at (2, 6)
Minimum at (2, 6)

Answer 1

to find the x - coordinate of the vertex we use formula x=−b/2a=8/4=2
or x=2, f(2)=-2
so the vertex is V(2, -2)
so the answer is
Minimum at (2, –2)