Complete the square on the equation (x^2)-4x-3

x²-4x-3 First factorise into squared form and expand.(x-2)²=x²-4x+4Balance the equations.x²-4x+4 needs to be x²-4x-3This leads to(x-2)²-4-3 to get rid of the +4 from factorising.Leaving finally(x-2)²-7As an extension could ask the student about minimum value of the curve