we have that F(x)=x²-10x+44 Group
terms that contain the same variable f(x)=(x²-10x)+44 Complete
the square Remember to balance the equation f(x)=(x²-10x+25-25)+44
Rewrite as perfect squares
f(x)=(x-5)²-25+44
f(x)=(x-5)²+19
this is the equation of a vertical parabola with vertex (5,19)