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Which graph represents the function y = log x + 4?

Which graph represents the function y = log x + 4?-example-1
Which graph represents the function y = log x + 4?-example-1
Which graph represents the function y = log x + 4?-example-2
Which graph represents the function y = log x + 4?-example-3
Which graph represents the function y = log x + 4?-example-4
User Matthes
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1 Answer

4 votes

Answer:

see attached

Explanation:

We assume you are looking for the graph of ...

y = log(x) +4

This represents a vertical translation 4 units upward of the graph of log(x). That is, the point (1, 0) that appears on a graph of a log function will be translated to (1, 4).

The only graph shown that goes through the point (1, 4) is the last one, attached.

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If you are actually looking for the graph of ...

y = log(x +4)

it will be a graph of the log function shifted 4 units to the left. The 2nd offered choice is that graph. The point (-3, 0) will be on that graph.

_____

Additional comment

For a function y = f(x), the transformation ...

y = f(x -h) +k

represents a horizontal shift of h units to the right, and a vertical shift of k units upward. Here, the argument of the log function is not clearly shown, so we cannot tell if the intended shift is to the left or upward.

Which graph represents the function y = log x + 4?-example-1
User Crwth
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