Question

Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.

Answer 1

Option D

Explanation:

Given : f(x) = log x

g(x) = log x + 5.

Solution:

Rule : f(x)→f(x)+b

Graph f(x) is translated up by b units

Now using this rule

f(x) = log x→g(x) = log x + 5.

So, f(x) is translated up by 5 units to obtain g(x).

In option D the graph is translated up by 5 units.

Thus Option D is correct.

Refer the attached graph for the translation.

Answer 2

The graph of g(x) = f(x) + 5 will have the graph of f(x) moved 5 units upward. The best choice is the last one.

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Adding 5 to each y-value (the output of f(x)) moves it upward by 5 units.