1. ## Translation Problem

Hello. I have been assigned a set of questions for homework and have not had any problems with them, up until the last question of the set!

The questions is..

The function r(x) = 1/(x + 3) is transformed by a translation of 3 units up and 5 units to the right. The transformed function passes through the point (x,7). The value of x to the nearest hundredth is ___

I can't seem to remember how to find out whether a a function passes through a specific point and was looking for some help.

Thanks very much.

2. Originally Posted by scuba_steve131
Hello. I have been assigned a set of questions for homework and have not had any problems with them, up until the last question of the set!

The questions is..

The function r(x) = 1/(x + 3) is transformed by a translation of 3 units up and 5 units to the right. The transformed function passes through the point (x,7). The value of x to the nearest hundredth is ___

I can't seem to remember how to find out whether a a function passes through a specific point and was looking for some help.

Thanks very much.
Hello!

Put your function equal to 7, which is the y value of the x that you need to find. Then solve for x! Ok?
Good luck!

3. Originally Posted by mollymcf2009
Hello!

Put your function equal to 7, which is the y value of the x that you need to find. Then solve for x! Ok?
Good luck!

Hmmm

So do I put the equation as 7 = 1/(x + 3) then solve for X?

Sorry it has been a while since I have done this kind of math!

4. Ok, yes that will give you the answer that you need. But I think you are probably supposed to be rewriting the equation in translated form. Take a look at the link below. It gives a good explanation for doing those. The way we did it will give you the same answer, but I think you teacher probably wants you to know how to write out the actual steps. It's actually a good way to understand how functions work.

Here is the linkTranslations of a graph - Topics in precalculus

Good luck!!

5. Originally Posted by mollymcf2009
Ok, yes that will give you the answer that you need. But I think you are probably supposed to be rewriting the equation in translated form. Take a look at the link below. It gives a good explanation for doing those. The way we did it will give you the same answer, but I think you teacher probably wants you to know how to write out the actual steps. It's actually a good way to understand how functions work.

Here is the linkTranslations of a graph - Topics in precalculus

Good luck!!

Awesome! Thanks a ton for all the help!