(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to make a sketch of this function:

4x = 4y - y^2

2. Relevant equations

3. The attempt at a solution

So I see that it's a kind of parabola in terms of y.. so I try to make it into parabola form:

x = y - (1/4)y^2

= (-1/4)(y^2-4y+4-4+0)

= (-1/4)((y-2)^2-4))

= (-1/4)(y-2)^2+1

Now I try to write it in terms of x:

x-1 = (-1/4)(y-2)^2

-4x+4 = (y-2)^2

+/-sqrt(-4x+4) = y-2

y = +/-sqrt(-4x+4)+2

But these curves look like they are different?

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# Homework Help: Sketching this curve

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