Question 85314
For the function y = x^2 - 6x + 8, perform the following tasks:
Put the function in the form y = a(x - h)2 + k.
y = x^2-6x+9 +8 - 9
y = (x-3)^2 -1
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What is the equation for the line of symmetry for the graph of this function?
Line of symmetry: x=3
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Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Vertex at (h,k) = (3,-1)
Y-intercept: (0,8)
{{{graph(400,300,-10,10,-10,10, x^2-6x+8)}}}

Show graph here. 
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Explanation of graphing. 
describe how this graph compares to the graph of y = x2?
Graph y=x^2
x-3 moves it 3 to the right.
-1 moves all points down one unit
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Cheers,
Stan H.