Q. 15 Match each graph to one the foll... [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. 15 (page 155)

Match each graph to one the following functions.
$f (x) = x^{2} - 2 x + 2$

Short Answer

Expert verified

The required graph is in option G.

Step by step solution

Step 1. Write given function in vertex form.

The given function is:

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

It can be written as:

$f (x) = (x^{2} - 2 x + 1) + 1 f (x) = (x - 1)^{2} + 1 [鈭� (a - b)^{2} = a^{2} - 2 a b + b^{2}]$

Step 2. Identify the graph of the function.

The vertex of the function $f (x) = a (x - h)^{2} + k$ is $(h, k)$ . The graph opens up if $a > 0$ and it opens down if $a < 0$ .

In the given function $a = 1, h = 1, k = 1$ . So, the graph must be an upward parabola with vertex at $(1, 1)$ .

Step 3. Conclusion.

The required graph is in option G.

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x	$y = f (x)$
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91影视

Match each graph to one the following functions.
$f (x) = x^{2} - 2 x + 2$

Short Answer

Step by step solution

Step 1. Write given function in vertex form.

Step 2. Identify the graph of the function.

Step 3. Conclusion.

One App. One Place for Learning.

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91影视

Match each graph to one the following functions.f(x)=x2-2x+2

Short Answer

Step by step solution

Step 1. Write given function in vertex form.

Step 2. Identify the graph of the function.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Match each graph to one the following functions.
$f (x) = x^{2} - 2 x + 2$