SOLUTION: Write y= 2x^2 - 12x + 16 in vertex form

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Question 1132215: Write y= 2x^2 - 12x + 16 in vertex form
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

vertex form:y=a%28x-h%29%5E2%2Bk
y=+2x%5E2+-+12x+%2B+16 in vertex form will be:

y=+2%28x%5E2+-+6x%29+%2B+16
y=+2%28x%5E2+-+6x%2Bb%5E2%29-2b%5E2+%2B+16 ...b is equal to 6%2F2=3
y=+2%28x%5E2+-+6x%2B3%5E2%29-2%2A3%5E2+%2B+16
y=+2%28x+-3%29%5E2-2%2A9+%2B+16
y=+2%28x+-3%29%5E2-18+%2B+16
y=+2%28x+-3%29%5E2-2
=> vertex is at (3,-2)





Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
On vertex form and completing the squares see the lessons
    - HOW TO complete the square - Learning by examples
    - HOW TO solve quadratic equation by completing the square - Learning by examples
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  "Quadratic equations".


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.