/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 18 Match each graph to one the foll... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 18 (page 155)

Match each graph to one the following functions.

f(x)=x2+2x+2

Short Answer

Expert verified

The required graph is in option D.

Step by step solution

01

Step 1. Write given function in vertex form.

The given function is:

f(x)=x2+2x+2

It can be written as:

f(x)=(x2+2x+1)+1f(x)=(x+1)2+1[鈭�(a+b)2=a2+2ab+b2]

02

Step 2. Identify the graph of the function.

The vertex of the function f(x)=a(x-h)2+kis (h,k). The graph opens up if a>0and 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).

03

Step 3. Conclusion.

The required graph is in option D.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Candy The following data represent the weight (in grams) of various candy bars and the corresponding number of calories.

(a) Draw a scatter diagram of the data treating weight as the independent variable.

(b) What type of relationship appears to exist between the weight of a candy bar and the number of calories?

(c) Select two points and find a linear model that contains the points.

(d) Graph the line on the scatter diagram drawn in part (a).

(e) Use the linear model to predict the number of calories in a candy bar that weighs 62.3 grams.

(f) Interpret the slope of the line found in part (c).

Straight-line Depreciation Suppose that a company has just purchased a new machine for its manufacturing facility for \(120,000. The company chooses to depreciate the machine using the straight-line method over 10 years.

(a) Write a linear model that expresses the book valueV of the machine as a function of its age x.

(b) What is the implied domain of the function found in part (a)?

(c) Graph the linear function.

(d) What is the book value of the machine after 4 years?

(e) When will the machine have a book value of \)72,000?

Raisins The following data represent the weight (in grams) of a box of raisins and the number of raisins in the box.

(a) Draw a scatter diagram of the data treating weight as the independent variable.

(b) What type of relation appears to exist between the weight of a box of raisins and the number of raisins?

(c) Select two points and find a linear model that contains the points.

(d) Graph the line on the scatter diagram drawn in part (b).

(e) Use the linear model to predict the number of raisins in a box that weighs 42.5 grams.

(f) Interpret the slope of the line found in part (c).

If the slope m of the graph of a linear function is________, the function is increasing over its domain.

Maximizing Revenue: The price p (in dollars) and the quantity x sold of a certain product obey the demand equation

x=-5p+100;0<p鈮�20

(a) Express the revenue R as a function of x.

(b) What is the revenue if 15 units are sold?

(c) What quantity x maximizes revenue? What is the maximum revenue?

(d) What price should the company charge to maximize revenue?

(e) What price should the company charge to earn at least $480 in revenue?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.