Question

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

Answer 1

Answer:

1st part: up

2nd part: add 3 to the y coordinate

3rd part: 2nd graph

Step-by-step explanation:

Answer 2

We will see that f(x) is g(x) = log(x) translated 3 units up.

How to determine the translation?

There are two general translations:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

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

• If N is positive, the shift is to the left.
• If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

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

• If N is positive, the shift is upwards.
• If N is negative, the shift is downwards.

Here we have the function:

f(x) = log(x) + 3

Then we can conclude that this is a translation of 3 units up of the parent logarithmic function.

If you want to learn more about translations, you can read:

https://brainly.com/question/17586310