Answer:
The vertex is at (3, -4).
Step-by-step explanation:
You need to convert the function to vertex form.
f(x) = (x - h)^2 + k is vertex form where (h, k) are the coordinates of the vertex.
f(x) = x^2 -6x+5
First we divide the -6 by 2 and convert x^2 - 6x to a squared term and a constant term:
x^2 - 6x + 5 = (x - 3)^2 - 9 + 5 [ we subtract the 9 because (x - 3)^2 = x^2 - 6x + 9)
= (x - 3)^2 - 4 which is vertex form and the required vertex is (3, -4).
