/*! 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

Enclosing the Most Area with a Fence A farmer with 10,000 meters of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel to one of the sides. See the figure. What is the largest area that can be enclosed?

The monthly revenue R achieved by selling

x wristwatches is figured to be R(x)=75x-0.2x2The monthly cost C of selling x wristwatches isC(x)=32x+1750

(a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue?

(b) Profit is given as P(x) = R(x) - C(x). What is the profit function?

(c) How many wristwatches must the firm sell to maximize

profit? What is the maximum profit?

(d) Provide a reasonable explanation as to why the answers found in parts (a) and (c) differ. Explain why a quadratic function is a reasonable model for revenue.

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=2x2-4x+1

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=3x2+6x

A projectile is fired at an inclination of 45掳to the horizontal, with a muzzle velocity of 100ft/s. The height h of the projectile is modeled by

hx=-32x21002+x

where x is the horizontal distance of the projectile from the firing point.

Part (a): At what horizontal distance from the firing point is the height of the projectile a maximum?

Part (b): Find the maximum height of the projectile.

Part (c): At what horizontal distance from the firing point will the projectile strike the ground?

Part (d) Using a graphing utility, graph the function h, 0鈮�x鈮�350.

Part (e): Use a graphing utility to verify the results obtained in parts (b) and (c).

Part (f): When the height of the projectile is 50ftabove the ground, how far has it traveled horizontally?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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.