SOLUTION: What transformations turn y = x^2 into y= -2(x - 1)^2+ 3?

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Question 1170916: What transformations turn y = x^2 into y= -2(x - 1)^2+ 3?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The function translation / transformation rules:
f%28x%29+%2B+b shifts the function b units upward
f%28x%29+-b shifts the function b units downward
f%28x+%2B+b%29 shifts the function b units to the left
f%28x-b%29 shifts the function b+units to the right
-f%28x%29 reflects the function in the x-axis (that is, upside-down)
f%28-x%29 reflects the function in the y-axis (that is, swapping the left and right sides).

so, what transformations turn y+=+x%5E2 into y=+-2%28x+-+1%29%5E2%2B+3

-2: reflects the function in the x-axis (that is, upside-down)
%28x-1%29: shifts the function 1 unit to the right
++3: shifts the function 3 units upward