Question 131660: Consider the following graph of y = f(x).
a) If h(x) = f(x) – 3, what would the new coordinates of P be after the shift? Give answer in (x, y) form.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! You don't show the graph, nor do you give the original coordinates of P. So I'll tell you the general answer and you will have to figure out the specifics for yourself.
For any function f, f(x) is the value of the function at f, and the graph of f consists of a set of ordered pairs of the form (x,f(x)), where x is any value in the domain of f.
So your h(x) = f(x) - 3 can be read as "the value of the function h, at any x in the domain of f and h, is equal to the value of f at that same value of x, minus 3."
If P(x,y) is a point on the graph of f, then P(x,y-3) is a point on the graph of h.
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