Posted by Untamed on .
The quadratic function f(x) = x^2 is transformed to g(x) = 2/3(x+3)^2 + 6 The point (6,36) on the graph of f is transformed to which point on the graph of g?
Could someone please show me how to solve this:\

Math 
Steve,
shift x left 3 (reduce x by three, since g(x+3) = f(x))
scale y by 2/3
shift y up by 6
(3,36*(2/3)+6) = (3,24+6) = (3,18)
check:
g(3) = 2/3 * (3+3)^2 + 6 = 18