Q. 498 In the following exercises, grap... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q. 498 (page 986)

In the following exercises, graph each function using a vertical shift.
$g (x) = x^{2} + 4$

Short Answer

Expert verified

The graph of $g (x)$ is shown below:

Step by step solution

Step 1. Given information.

We have:

$g (x) = x^{2} + 4$

Step 2. Find the points

Denote, parent function of a given function is $f (x) = x^{2}$ .

Since the function is given by $g (x) = x^{2} + 4$ , it follow that the graph of the parent function is shifted vertically $4$ units up.

$f (x) = x^{2}$

For example, substitute $x = 0$ into the equation to obtain points that the graph of the given function goes through:

$f (0) = 0^{2} = 0$

Therefore, the graph of the function $f (x)$ goes through point $(0, 0)$ . Using the same procedure, it follows that the graph of the function $f (x)$ goes through points $(1, 1)$ and $(- 1, 1)$ as well.

Step 3. Plot the points.

Plot the obtained points. Draw a parabola through the plotted points to obtain graph of parent function. Shift the graph of the parent function $4$ units up to obtain graph of $g (x) .$

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91影视

In the following exercises, graph each function using a vertical shift.
$g (x) = x^{2} + 4$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the points

Step 3. Plot the points.

One App. One Place for Learning.

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91影视

In the following exercises, graph each function using a vertical shift.g(x)=x2+4

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the points

Step 3. Plot the points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Probability and Statistics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each function using a vertical shift.
$g (x) = x^{2} + 4$