SOLUTION: convert y=3x^2+18x+30 to vertex form by completing the square convert y= -2x^2+28x-7 to vertex form by completing the square trying to figure this out.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: convert y=3x^2+18x+30 to vertex form by completing the square convert y= -2x^2+28x-7 to vertex form by completing the square trying to figure this out.      Log On


   



Question 252708: convert y=3x^2+18x+30 to vertex form by completing the square
convert y= -2x^2+28x-7 to vertex form by completing the square
trying to figure this out.

Found 2 solutions by richwmiller, drk:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Since the rules of this site say not to submit similar problems, I removed the second one. We are not here to do your homework for you but to teach you.
Let's take y=3x^2+18x+1
First you need to complete the square and then convert it to vertex form.
so how do you complete the square?
and what is the vertex form?
You need to show that you have tried something.


Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start with the first equation and then repeat process for second:
(i) y+=+3x%5E2+%2B+18x+%2B+30
STEP #1: factor out the 3 from the first two terms to get
(ii) 3%28x%5E2+%2B+6X+%2B+___+%29+%2B+30+-+____
--
STEP #2: take 1/2 middle term number and square it. Multiply it by 3 and put that answer in the blanks. We get
(iii) 3%28x%5E2+%2B+6X+%2B+3%5E2%29+%2B+30+-+3%2A3%5E2
--
STEP #3: write the left side as a quantity squared and equalling the right.
(iv) y+=+3%28X%2B3%29%5E2+%2B+3
This is vertex form.
--
--
(v) y= -2x^2+28x-7
STEP #1: factor out -2 from the first two terms to get
(ii) -2%28x%5E2+-+14x+%2B+___+%29+-+7+-+____
--
STEP #2: take 1/2 middle term number and square it. Multiply it by -2 and put that answer in the blanks. Sometimes it's easier to say [middle number/2]. Don't forget your signs. We get
(iii) -2%28x%5E2+-+14x+%2B+%28-7%29%5E2%29+-+7+-+%28-98%29
--
STEP #3: write the left side as a quantity squared and equalling the right.
(iv) -2%28x+-+7%29%5E2+%2B+91
This is vertex form.