Question 714178
Answer the following for the given quadric function. f(x)=x^2-4x+4
a.) what is the vertex (h,k) of f?
b.) what is the axis of symmetry?
c.) what are the intercepts?
d.) graph it.
e.) on which interval is f increasing?
f.) on what interval is f decreasing? 
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f(x)=x^2-4x+4
complete the square:
y=(x^2-4x+4)-4+4
y=(x-2)^2
..
vertex: (2,0)
axis of symmetry: x=2
..
y-intercept
set x=0, solve for y
y-intercept=4
..
x-intercept
set y=0, solve for x
x-intercept=2
..
see graph below:
..
f increasing: (2,∞)
..
f decreasing:(-∞,2)
       

{{{ graph( 300, 300, -10, 10, -10, 10,x^2-4x+4) }}}