SOLUTION: What is the equation of the inverse of y = 2(x-2)^2 - 3. Is the original and inverse equations a function? Justify your response.

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Question 942178: What is the equation of the inverse of y = 2(x-2)^2 - 3. Is the original and inverse equations a function? Justify your response.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Interchange x and y.
x=2%28y-2%29%5E2-3
Now solve for y, that'll be the inverse.
x%2B3=2%28y-2%29%5E2
%28y-2%29%5E2=%28x%2B3%29%2F2
y-2=0+%2B-+sqrt%28%28x%2B3%29%2F2%29
y=+2+%2B-+sqrt%28%28x%2B3%29%2F2%29
Original is a function.
Inverse is not (multiple y values for one x value)