Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f(x).

Step-by-step explanation:

First compare functions f(x) and g(x),

Output values f(x) are same in both the tables.

Input value of f(x) = -2

Input value of g(x) = -3

Difference in input values = -3 + 2 = -1

This reveals that function has been shifted by (-1) units on the x-axis.

Therefore, g(x) = f(x - 1)

Now compare f(x) and h(x),

Input values of both the tables are same.

Difference in output values = 0 - (-2) = 2

That means graph of the function has been shifted by 2 units up along y-axis.

Therefore, h(x) = f(x) + 2

-81 -56 -27 0 81

step-by-step explanation: