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

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


   

Question 295841: how do you start with the graph of a standard function and applying transformation.
+g%28x%29+=3-2%28x-1%29%5E2
Answer by stanbon(75887) About Me  (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
==================================================
Cheers,
Stan H.