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How do I isolate the x in y = 4x - x^2?

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why do you need to isolate x from there ?
I need to express the function in terms of y
Maybe it's just really late....but isn't that already "y"?

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Other answers:

...ok i meant in terms of x then whoops
Oh. Ha ha. Made me confused.
basically i need to turn it into a "x=" form instead of "y="
Herrhhh....What grade/course level is this?
I actually need this for a calculus proble, but I'm having a brain fart. ln and e^x and all that?
i need to find the radii of the "outer circle" and "inner circle" of the cross section that looks like a donut, so in order to express the radius in terms of the equation, i need it in terms of "x="
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Or do you have to do derivatives too?
I'm using integrals because I need to find the volume of a graph rotated around the y axis
why dont you just complete a square
Wait..does that diagram incldue x,y, z planes, or is that just 2D?
It should be 3D. Okay, the reason why I'm asking this "x isolation" question is because I need to find the volume of the graph of y = 4x - x^2 rotated around the y-axis and bounded by y=0.
completing the square will do it., do you know how to ?
That's the whole problem I'm working on right now.
I tried using the quadrative formula, but I got a numerical answer. Am I using it wrong? I'm having a big brain fart right now T_T
if you ever need to solve a quadratic just complete a square
in this case you need to solve for x, so complete a square to do it o_o
I'm not trying to solve it though. I need to have the x isolated :( Solvng it gives me a numerical answer.
-I feel really stupid right now lol-
Hey, don't say that, or I'll feel stupid for not remembering anything.
let me give you first few steps.... y= 4x-x^2 = -(x^2-4x+4-4) -y = (x-2)^2-4 now can you isolate 'x' ?
they condition us to grow accustomed to f(x)! f(y) is just as important =[
Thank you everyone, I've got it now :) haha
lol! you too :)
welcome ^_^

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