SOLUTION: 2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. Answer: Show work in this space. b) What is the eq

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Question 87465: 2) For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
b) What is the equation for the line of symmetry for the graph of this function?
Answer:
c) 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.
d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:

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:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
y = x^2-6x+9 +8 -9
y = (x-3)^2 - 1
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b) What is the equation for the line of symmetry for the graph of this function?
Answer: x=3
--------------------
c) 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.
d) In your own words, describe how this graph compares to the graph of y = x^2?
Answer: (x-3) moves the graph of y=x^2 3 to the right.
The -1 then moves all points of the graph one down.
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Cheers,
Stan H.

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