SOLUTION: I am working on an assignment for "completing the square" in quadratic functions. The problem I'm working on is 9x^2-12x+4=-3 I am struggling with putting this into vertex f

Question 805484: I am working on an assignment for "completing the square" in quadratic functions. The problem I'm working on is
9x^2-12x+4=-3
I am struggling with putting this into vertex form.
Thank you very much!
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Factor the 9 from :

Form the missing square term, ;
You must add to both sides of the equation, being careful to account for what is inside and what is outside the factored grouping from your previous factoring step.

Watch this step carefully:

Start simplifying.

If you want to solve for x, you can from that. "Vertex" form suggests you have a function but you did not show a given function, but a quadratic equation. Maybe ?
The vertex is (2/3, 3).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I am working on an assignment for "completing the square" in quadratic functions. The problem I'm working on is
9x^2-12x+4=-3
------------------
This is a tougher than necessary equation to learn comleting the square, but...
9x^2-12x+4=-3
Step 1, get the coefficient of x^2 to be 1. Divide by 9
x^2 - (4/3)x + 4/9 = -1/3
Put the coefficients terms on the right
x^2 - (4/3)x = -1/3 - 4/9 = -7/9
Find the c term, where it's ax^2 + bx + c = ...
c = (b/2a)^2
Since a = 1, it's just (b/2)^2
b = -4/3
b/2 = -2/3
(b/2)^2 = 4/9
------------
Add c (= 4/9) to both sides
x^2 - (4/3)x = -7/9
x^2 - (4/3)x + 4/9 = -7/9 + 4/9 = -3/9
x^2 - (4/3)x + 4/9 = -3/9 = -1/3
Now the left side is a "perfect square."

Take the sqrt of both sides.

---------------

===========
Not a good teaching example, imo.
RELATED QUESTIONS
Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4,... (answered by mananth)
Hello! I am working on quadratic equations this week, in my Algebra class (section 11.4,... (answered by Alan3354)
I need help completing the square for this problem. 16x^2-16x-5=0 So far I have... (answered by Msgenes)
I need a brush-up on completing the square. I am working with equations for ellipses. I... (answered by Edwin McCravy)
X^2-10x+29=0 Hi! I have to use the quadratic formula to solve this equation. I am... (answered by ewatrrr)
I am working on functions and graphs the problem that is giving me problems is Express... (answered by Fombitz)
I cannot remember how to distribute the exponents. The problem I am working on is... (answered by stanbon,JBarnum)
i am working on linear equations for my test tomorrow, but I am stumped on one problem... (answered by jim_thompson5910)
The problem I am working on is for some reason just escaping me. It is... (answered by rapaljer)