SOLUTION: Put the equation y=x^2-6x into the form y=(x-h)^2+k

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Question 1200135: Put the equation y=x^2-6x into the form y=(x-h)^2+k
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
"9", to Complete-The-Square

y=x%5E2-6x%2B9-9
y=%28x-3%29%5E2-9

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Put the equation y=x^2-6x into the form y=(x-h)^2+k
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        This procedure is called  " completing the square ". 


The starting expression is

    y = x^2 - 6x



You want to extract the square. You write an equivalent / (an identical) expression

    y = x^2 - 2*3x.



You transform it to this equivalent form

    y = (x^2 -2*3x + 9) - 9

by adding and subtracting 9.



You extract the square

    y = (x-3)^2 - 9.



It is just the form you want: h= 3;  k= -9.


At this point,  the job is complete.

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To see many other similar solved problems,  look into the lesson
    - HOW TO complete the square - Learning by examples
in this site.

Read it - it is the way to learn the method.