SOLUTION: how do you write in standard form y = 1/3(x-2)^2 + 4? I know how to do some of the problem. I'm stuck on how to get rid of the 1/3. y = 1/3(x-2)^2 + 4 y = 1/3(x^2 - 4x + 4)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: how do you write in standard form y = 1/3(x-2)^2 + 4? I know how to do some of the problem. I'm stuck on how to get rid of the 1/3. y = 1/3(x-2)^2 + 4 y = 1/3(x^2 - 4x + 4)       Log On


   



Question 312030: how do you write in standard form y = 1/3(x-2)^2 + 4? I know how to do some of the problem. I'm stuck on how to get rid of the 1/3.
y = 1/3(x-2)^2 + 4
y = 1/3(x^2 - 4x + 4) + 4
y = (x^2)/3 - 4x/3 + 4/3 + 4 or 3y = x^2 - 4x + 8
This is where I am stuck....help please!!!!!!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Why don't you multiply by 3 first, expand and then divide by 3 at the end if the (1/3) is giving you problems?
The first expression in your last line is correct, just work out (4%2F3%2B4=4%2F3%2B12%2F3=16%2F3).
y+=+%281%2F3%29%28x-2%29%5E2+%2B+4
3y+=+%28x-2%29%5E2+%2B+12
3y=%28x%5E2-4x%2B4%29%2B12
3y=x%5E2-4x%2B16
y=%281%2F3%29x%5E2-%284%2F3%29x%2B16%2F3