SOLUTION: complete the square to transform the given equation from Standard form to Vertex form. y=2x^2-12x+22

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Question 1134416: complete the square to transform the given equation from Standard form to Vertex form. y=2x^2-12x+22
Found 3 solutions by mathsolverplus, josgarithmetic, ikleyn:
Answer by mathsolverplus(88) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form: y=ax^2+bx+c
It's important to know what b is when completing the square.
Vertex form: y=a(x-h)^2+k (h,k) is the vertex


y=2x%5E2-12x%2B22
y=2%28x%5E2-6x%29%2B22 1. Factor out 2 to make sure the coefficient of x^2 = 1
y=2%28x%5E2-6x%2B9-9%29%2B22 2. Add and subtract (b/2)^2 inside the parentheses
y=2%28x-3%29%5E2-18%2B22 3. Factor into the form of (x-b)^2
y=2%28x-3%29%5E2%2B4 This is the vertex form.


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Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
On completing the square, see the lesson
    - HOW TO complete 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.