Question

he graph of f(x) = log x + 3 is the graph of
g(x) = log x translated 3 units

Answer 1

We conclude that the graph of f(x) is the graph of g(x) translated 3 units upwards.

How do relate the graphs of f(x) and g(x)?

Here we have the functions:

$f(x) = log(x) + 3\\\\g(x) = log(x)$

And we want to find a relation between them.

Remember that a vertical translation of N units (the sign of N defines the direction of the translation) is written as:

$f(x) = g(x) + N$

In this case, we can see that N = 3, it is positive, so the translation is upwards. (This means that the whole graph of the function f(x) is translated upwards 3 units in the coordinate axis)

Then we conclude that the relation between the graphs of the given functions is that the graph of f(x) is the graph of g(x) translated 3 units upwards.

If you want to learn more about translations:

https://brainly.com/question/24850937

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