Chapter 2: Q. 3 (page 112)

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.

Short Answer

Expert verified

vertical; up

Step by step solution

Step 1. Concept Used

If a positive real number $k$ is added to the outputs of a function $y = f (x)$ , the graph of the new function $y = f (x) + k$ is the graph of $f$ shifted vertically up $k$ units.

If a positive real number $k$ is subtracted from the outputs of a function $y = f (x)$ , the graph of the new function $y = f (x) - k$ is the graph of $f$ shifted vertically down $k$ units.

Step 2. Fill in the blanks

As $2$ is added to the output of the known function $y = g (x)$ , then the graph of the new function $y = g (x) + 2$ is the graph of $g$ shifted vertically up $2$ units.

So the blanks are filled by vertical and up.

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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.

Short Answer

Step by step solution

Step 1. Concept Used

Step 2. Fill in the blanks

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Suppose that the graph of a function gis known. The graph of y=g(x)+2may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.

Short Answer

Step by step solution

Step 1. Concept Used

Step 2. Fill in the blanks

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

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.