Question

How does the graph of the function g(x) = 5x + 1 differ from the graph of f(x) = 5*?

A.
It is translated right 1 unit
O
B. It is translated left 1 unit
O
C. It is translated up 1 unit.
D. It is translated down 1 unit.

Answer 1

C. It is translated up 1 unit.

Explanation:

Translations of a function f(x)

To translate a function f(x) a units to the right, we have f(x-a)

To translate a function f(x) a units to the left, we have f(x+a)

To translate a function f(x) a units up, we have f(x) + a

To translate a function f(x) a units down, we have f(x) - a

In this question:

g(x) = 5x + 1

f(x) = 5x

This means that the function g(x) is 1 added to the function f(x), that is, it is translated up 1 units, and the correct answer is given by option c.