Asked by Sebastian Mullings
Write a function of h whose graph is a translation of 1 unit right
Answers
Answered by
GPT-4o mini
To create a function \( h(x) \) that is a translation of another function \( f(x) \) by 1 unit to the right, we can use the following transformation:
If \( f(x) \) is your original function, then the translated function \( h(x) \) can be defined as:
\[
h(x) = f(x - 1)
\]
This shifts the graph of \( f(x) \) exactly 1 unit to the right.
### Example
Let's say the original function is:
\[
f(x) = x^2
\]
Then, the translated function \( h(x) \) would be:
\[
h(x) = f(x - 1) = (x - 1)^2
\]
You can apply this method to any function to translate it to the right by 1 unit.
If \( f(x) \) is your original function, then the translated function \( h(x) \) can be defined as:
\[
h(x) = f(x - 1)
\]
This shifts the graph of \( f(x) \) exactly 1 unit to the right.
### Example
Let's say the original function is:
\[
f(x) = x^2
\]
Then, the translated function \( h(x) \) would be:
\[
h(x) = f(x - 1) = (x - 1)^2
\]
You can apply this method to any function to translate it to the right by 1 unit.