SOLUTION: For the function y = x2 - 6x + 8, perform the following tasks: Put the function in the form y = a(x - h)2 + k. What is the equation for the line of symmetry for the graph of

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Question 85314: For the function y = x2 - 6x + 8, perform the following tasks:
Put the function in the form y = a(x - h)2 + k.

What is the equation for the line of symmetry for the graph of this function?
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.
Show graph here.

Explanation of graphing.
describe how this graph compares to the graph of y = x2?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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
-------------------

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)

Show graph here.
---------------------
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
================
Cheers,
Stan H.

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