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How is the graph of log x – 4 translated from the graph of log x?

shifted right 4 units
shifted up 4 units
shifted left 4 units
shifted down 4 units

1 Answer

6 votes

Answer:

Shifted down 4 units.

Explanation:

The translated graph is given by
\log x -4

The parent function is y = log x

We know the below rule of transformation of graph:

Rule: If a function f(x) is translated "a" units downward then the translated function would be f(x)-a

Here, log x is translated as log x - 4 which means a = 4

Hence, from the above rule, the graph of the function y = log x will be translated 4 units downward to get the graph of log x - 4

Therefore, last option is correct.

User Dan Brown
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