The graph of f(x)=x was translated right 13 units to create the graph of h(x).
Write the equation of h(x) using function notation.
h(x) = f(x-13)
Think about it. All the x-values have to be 13 bigger to produce the same graph.
is that the answer
or is that an example
well, I guess it's both.
To translate in the positive direction (right or up) replace
x by x-h
y by y-k
Thus, given f(x), translate h units to the right and k units up,
h-k = f(x-h)
That is,
h(x) = f(x-h)+k
Time to review the section in your text, eh?
or google is your friend. It can provide many discussions, examples, and videos.
To translate a function right 13 units, we need to replace the variable x in the original function with (x - 13).
The original function is f(x) = x.
Therefore, the equation of h(x) can be written as h(x) = f(x - 13).
In this case, substituting f(x) with x, we get h(x) = x - 13.