How to graph:

y=x(x-4)

Calculator shows the vertex at (2,-4)
Can someone explain why? Thanks.

Try completing the square.

x(x-4) = x^2 -4x +4 -4
= (x-2)^2 - 4

The vertex is the lowest point of the parabolic curve. That is obviously where x = 2, where the first term is zero.

The value of y there is -4.