Q. 6 In Problems 6鈥� 8, graph each q... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 3: Q. 6 (page 174)

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = {(x - 2)}^{2} + 2$

Short Answer

Expert verified

The required graph is

Step by step solution

Step 1. Given information.

The given quadratic function is $f (x) = {(x - 2)}^{2} + 2$

Step 2. Determine the horizontal and vertical shift.

Compare the function with $f (x) = {(x - h)}^{2} + k$ and determine $h and k$ .

localid="1646225284855" $f (x) = {(x - 2)}^{2} + 2 f (x) = a {(x - h)}^{2} + k S o, h = 2 k = 2 a = 1$

Step 3. plot the graph of the parent function.

Plot the graph of $f (x) = x^{2}$

Step 4. horizontal shift of the graph

Shift the graph of $f (x) = x^{2}$ to 2 units right to plot $f (x) = {(x - 2)}^{2}$ .

Step 5. vertical shift of the graph.

Shift the graph of $f (x) = {(x - 2)}^{2}$ to 2 units up to plot $f (x) = {(x - 2)}^{2} + 2$ .

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x	$y = f (x)$
-2	-4
-1	-3.5
0	-3
1	-2.5
2	-2

91影视

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = {(x - 2)}^{2} + 2$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Step 3. plot the graph of the parent function.

Step 4. horizontal shift of the graph

Step 5. vertical shift of the graph.

One App. One Place for Learning.

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Study anywhere. Anytime. Across all devices.

91影视

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).fx=x-22+2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Step 3. plot the graph of the parent function.

Step 4. horizontal shift of the graph

Step 5. vertical shift of the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = {(x - 2)}^{2} + 2$