/*! 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. 3 Graph f(x)=x-32-2using transform... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 3 (page 175)

Graph f(x)=x-32-2using transformations.

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given information.

Graph f(x)=x-32-2using transformations.

02

Step 2. Determine the horizontal and vertical shift. 

Compare the function with fx=ax-h2+kand determine handk.

fx=x-32-2f(x)=ax-h2+kSo,h=3k=-2a=1

03

Step 3. plot the graph of the parent function. 

Plot the graph of f(x)=x2.

04

Step 4. Horizontal shift of the graph.

Shift the graph of f(x)=x2to 3 units rights to plot f(x)=x-32.

05

Step 5. Vertical shift of the graph. 

Shift the graph of f(x)=x-32to 2 units down to plot f(x)=x-32-2.

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

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.

f(x)=(x-3)2-10

In Problems 7鈥�22, solve each inequality.

4x2+9<6x

Make up a quadratic function that opens down and has only one x-intercept. Compare yours with others in the class. What are the similarities? What are the differences?

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)=23x2+43x-1

Plot the points (1,5),(2,6),(3,9),(1,12)in the Cartesian plane. Is the relation {(1,5),(2,6),(3,9),(1,12)}a function? Why?

See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

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.