SOLUTION: se the vertex formula to determine the vertex of the graph of the function. f(x) = x2 − 12x (x, y) = Write the function in standard form. f(x) =

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Question 1130542: se the vertex formula to determine the vertex of the graph of the function.
f(x) = x2 − 12x
(x, y) =
Write the function in standard form.
f(x) =

Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

the vertex formula: where and are and coordinates of the vertex
.....complete square
....take half of the term coefficient for


so, and and vertex is at:
(,)

Write the function in standard form.
The standard form of a quadratic equation is
in standard form


Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

se the vertex formula to determine the vertex of the graph of the function.
f(x) = x2 − 12x
(x, y) =
Write the function in standard form.
f(x) = 
You want the vertex formula, and it is this: 

Use this to find the x-coordinate of the vertex, or the axis of symmetry. Then use this x-value in the given equation to find the y-coordinate. 

You will then have your x and y-coordinates of the vertex. 

Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
 .

On finding minimum/maximum of a quadratic function and finding the vertex of a parabola see the lessons



    - HOW TO complete the square to find the minimum/maximum of a quadratic function



    - Briefly on finding the minimum/maximum of a quadratic function



    - HOW TO complete the square to find the vertex of a parabola



    - Briefly on finding the vertex of a parabola



in this site.







Also,  you have this free of charge online textbook in ALGEBRA-I in this site



    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.





The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions". 







Save the link to this online textbook together with its description





Free of charge online textbook in ALGEBRA-I

https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson





to your archive and use it when it is needed.







 

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