Question

The function g(x) is a transformation of the parent function f(x). Describe how f(x) was transformed to make g(x).

Answer 1

you can see that the answers(y) of f(x) were Subtracted by a factor of 2 to make the answers(y) of g(x).
example: 9-2=7 81-2=79
when a number is added to or subtracted from a function the graph will make a horizonal or vertical shift. therefore C. is correct

Answer 2

C. Horizontal or Vertical shift

Explanation:

Specifically, this is a vertical shift.

If we compare f(x) and g(x) results for each X value, we can notice there is a constant difference of 2. Graphically this makes the graph to move down.

`x=-2 \\ f(x)=(1)/(9) \\ g(x)=(1)/(9)-2=(1)/(9)-(18)/(9)=-(17)/(9)\\x=-1 \\ f(x)=(1)/(3) \\ g(x)=(1)/(3)-2=(1)/(3)-(6)/(3)=-(5)/(3)\\x=2 \\ f(x)=9 \\ g(x)=9-2=7\\x=3 \\ f(x)=27 \\ g(x)=27-2=25\\x=4 \\ f(x)=81 \\ g(x)=81-2=79`