Given the parent function f(x)=x^2 describe the graph of g(x)=(3x-6)^2+3 a. expanded vertically by a factor of 3, horizontal shift left 6, vertical shift up 3 c. compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3 b. expanded horizontally by a factor of 3, horizontal shift left 6, vertical shift up 3 d. compressed vertically by a factor of 1/3, horizontal shift right 2, vertical shift up 3

For this case we have the following functions transformation:
 Vertical expansions:
 To graph y = a * f (x)
 If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
 f1 (x) = (3x) ^ 2
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 f2 (x) = (3x-6) ^ 2
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 g (x) = (3x-6) ^ 2 + 3
 
 expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3