Solved: Suppose that the graph of a function g is known.

Chapter 2, Problem 3

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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.

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