159k views
5 votes
Find the function that is finally graphed after the following transformations are applied to the graph of y=/x in the order listed. ​(1) Reflect about the x-axis ​(2) Shift up 2 units ​(3) Shift right 4 units

User Nzjoel
by
8.1k points

1 Answer

3 votes

The transformed function can be written as g(x) = -1/(x - 4) + 2

How to find the function:

We want to find the equation for:

y = 1/x = f(x)

When:

​(1) Reflect about the x-axis ​(2) Shift up 2 units ​(3) Shift right 4 units

First, a reflect about the x-axis just means that we need to multiply by -1, then:

g(x) = -f(x)

A shift up of 2 units means that we need to add 2.

g(x) = -f(x) + 2

A shift right of 4 units means that we need to subtract 4 i the argument:

g(x) = -f(x - 4) + 2

Then we can write:

g(x) = -1/(x - 4) + 2

User Ivan Burlutskiy
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories