SOLUTION: how do you start with the graph of a standard function and applying transformation. {{{ g(x) =3-2(x-1)^2}}}

Question 295841: how do you start with the graph of a standard function and applying transformation.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how do you start with the graph of a standard function and applying transformation.
g(x) =3-2(x-1)^2
========
Start with the graph of y = x^2
Shift 1 to the right to get y = (x-1)^2
Dilate the curve to get y = 2(x-1)^2
Reflect the curve in the x-axis to get y = -2(x-1)^2
Translate the curve up 3 to get y = 3 -2(x-1)^2
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Cheers,
Stan H.
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