Question

Pls help ...

Describe three ways to transform the graph of f(x) = log x to obtain the graph of g(x) = log 100x -1. Justify your answer.​

Answer 1

• Translation up by one unit

Explanation:

Given

• f(x) = log x

Let's see what relationship has the function g(x) and f(x):

• g(x) = log 100x - 1 =
• log 100 + log x - 1 =
• 2 + log x - 1 =
• log x + 1 =
• f(x) + 1
• g(x) = f(x) + 1

As we see the function g(x) is the translation of the function f(x) up by one unit

Note: there is one transformation as described above. The interim steps in the solution could possibly be considered as different ways (like two units up and one unit down). The final position is just one way translation.