SOLUTION: please show steps. 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 inte

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: please show steps. 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 inte      Log On


   



Question 714178: please show steps.
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?
thanks so much this is all one problem!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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?
**
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%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E2-4x%2B4%29+