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

Answer:
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