There are a few ways to do it. Here's how I would get it. Take the derivative and set it to zero and solve for x. That gives the x coordinate of the vertex. Then plug that x value in the function to see which y value corresponds. The derivative is given by y'=2x-8 So set it to zero and get x 2x-8=0 2x=8 x=4 Now put x=4 in your original function 4^2-8(4)+2=-14 So the vertex is at (4, -14)
