Question 1044567
Only doing (B) for you.


{{{f(x)=x^2-16x+55}}}
{{{x^2-16x+(16/2)^2-(16/2)^2+55}}}
{{{x^2-16+8^2-8^2+55}}}
{{{(x-8)^2-64+55}}}
{{{highlight(f(x)=(x-8)^2-9)}}}


Vertex is  (8,-9).  This is readable directly from the standard form equation.


The x-axis intercepts?
{{{(x-8)^2-9=0}}}
{{{(x-8)^2=9}}}
{{{x-8=0+- 3}}}
{{{x=8+- 3}}}
{{{system(zerosAre,5,and,11)}}}


y-axis intercept?
Look again at the GENERAL FORM equation.   (0,55) is the vertical axis intercept.


{{{graph(500,500,-10,20,-10,20,x^2-16x+55)}}}