Question

Tabular representations for the functions f

, g
, and h
are given below. Write g(x)
and h(x)
as transformations of f(x)
.



x
−2
−1
0
1
2

f(x)
−2
−1
−3
1
2

x
−1
0
1
2
3

g(x)
−2
−1
−3
1
2

x
−2
−1
0
1
2

h(x)
3
4
2
6
7

g(x)=

Answer 1

Explanation:

To determine the transformations of f(x) to obtain g(x), we can compare the values of f(x) and g(x) for each corresponding x.

Comparing the values for each x, we can see that g(x) is equal to f(x) + 0 for all x. Therefore, the transformation from f(x) to g(x) is simply a vertical shift of 0 units. In other words, g(x) is the same as f(x) without any transformation applied.

Thus, g(x) = f(x) for all values of x.