For y=\log_{3}(x+2) a. Use transformations of the graphs of y=\log_{2}x

aflacatn

aflacatn

Answered question

2021-08-15

For y=log3(x+2) a. Use transformations of the graphs of y=log2x and y=log3x to graph the given functions. b. Write the domain and range in interval notation. c. Write an equation of the asymptote.

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-08-16Added 110 answers

Step 1
a) Stert from the graph of the parent function f(x)=log3x.
As we can see the given function y=log3(x+2) can be expressed in terms of the parent function f as y=f(x+2)
This indicates that the graph of the function y=log3(x+2) will be the same as the graph of the parent function f(x)=log3x shifted 2 units left.
See the graph in the picture below:

Step 2
b) The domain of the function y=log3(x+2) is the interval: (2,+)
The range of the function y=log3(x+2) is the interval (,+)
c) The vertical asymptote of the graph of this function is the line x=2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?