SOLUTION: find the inverse: y=(x-3)^2+4

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Question 828853: find the inverse:
y=(x-3)^2+4
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Not really have an inverse. the inverse relation is not a function, but a relation.
x=%28y-3%29%5E2%2B4, switching x and y.
%28y-3%29%5E2=x-4
y-3=0%2B-+sqrt%28x-4%29
y=3%2B-+sqrt%28x-4%29 Composed of upper and lower branches.

The given equation, y=%28x-3%29%5E2%2B4, has vertex (3,4).
The domain of (-oo,3] will have the LOWER branch, y=3-sqrt%28x-4%29 as its inverse function.
The part of the domain, [3,oo) of the given function will have the UPPER branch, y=3%2Bsqrt%28x-4%29 as its inverse function.