Write a function of h whose graph is a translation of 1 unit right

Answer 1

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.