complete the sentence below. suppose that the graph of a function f is known. then the graph of y = f(x - 2)…
complete the sentence below. suppose that the graph of a function f is known. then the graph of y = f(x - 2) may be obtained by a ______ shift of the graph of f ______ a distance of 2 units. suppose that the graph of a function f is known. then the graph of y = f(x - 2) may be obtained by a shift of the graph of f a distance of 2 units.
Answer
Brief Explanations:
For a function (y = f(x)), the transformation (y=f(x - h)) (where (h>0)) represents a horizontal shift. When (h = 2) (in the function (y=f(x - 2))), according to the rules of function transformations, if we have a function (y = f(x)) and we consider (y=f(x - h)), the graph of (y=f(x - h)) is obtained by shifting the graph of (y = f(x)) to the right by (h) units. Here (h = 2).
Answer:
horizontal; to the right