Question

The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make (gx). Table f(x) x= -2, -1, 2, 3, 4 y= 1/9, 1/3, 9, 27, 81 Table g(x) x= -2, -1, 2, 3, 4 y= -17/9, -5/3, 7, 25, 79

I need answers this in 5min pls help!!

Answer 1

Answer: horizontal or vertical stretch

Answer 2

f(x) translate 2 units down to get the function g(x).

Explanation:

From the given tables it is clear that the x-values for both tables are -2,-1,2,3,4.

Difference between y-values of both functions are:

`(-17)/(9)-(1)/(9)=-2`

`(-5)/(3)-(1)/(3)=-2`

`7-9=-2`

`25-27=-2`

`79-81=-2`

So, difference between y-values of both functions is constant, i.e., -2.

Now, we get

`g(x)=f(x)-2`

It means function f(x) shifts 2 units down to get the function g(x).

Therefore, f(x) translate 2 units down to get the function g(x).