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)
see the attached figure
