Solution Found!
Solved: Suppose that the graph of a function g is known.
Chapter 2, Problem 3(choose chapter or problem)
QUESTION:
Suppose that the graph of a function g is known. The graph of y = g(x) + 2 may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.
Questions & Answers
QUESTION:
Suppose that the graph of a function g is known. The graph of y = g(x) + 2 may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.
ANSWER:Step 1 of 3
We know that, In any function, for \(c>0\):
\(h(x)=f(x)+c\) shifts the graph of f(x) vertically upward by c units,
\(h(x)=f(x)-c\) shifts the graph of f(x) vertically downward by c units,
\(h(x)=f(x+c)\) shifts the graph of f(x) horizontally left by c units,
\(h(x)=f(x-c)\) shifts the graph of f(x) horizontally right by c units.