Write the equation of h(x) using function notation.

The graph of f(x)=x was translated right 13 units to create the graph of h(x).

and i put h(x) = x - 13 and its wrong

If it was to the right, wouldn't it make it greater?

h(x) = x-13 is correct.

If you graph the two lines, you will see that
h(x) is shifted right by 13.
It is also shifted down by 13, but the effect is the same.

Maybe they wanted h(x) = f(x-13)

The correct equation for h(x) when the graph of f(x)=x is translated right 13 units is:

h(x) = x + 13

To arrive at this equation, we need to understand that a rightward translation involves adding a positive value within the function notation.

In the provided equation h(x) = x - 13, you subtract 13 instead of adding, which would result in a leftward translation. Therefore, the correct equation is h(x) = x + 13.