/*! 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. 60 Exploration Graph y=x2聽Then on ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 60 (page 103)

Exploration Graph y=x2Then on the same screen graph y=x2+2, followed by y=x2+4, followed by y=x2-2. What pattern do you observe? Can you predict the graph of y=x2-4? Of y=x2+5 ?

Short Answer

Expert verified

The graph is and the graph is

Step by step solution

01

Given information

Given the function

y=x2y=x2+2y=x2+4y=x2-2

02

Sketching the graph

The graph is

03

Checking the graph

We get that all graphs are similar to graph y=x2

Hence the graph y=x2-4is obtained by shifting the graph y=x2-4units downwards.

Similarly, the graph y=x2+5is obtained by shifting the graph y=x2+5units upwards.

04

Sketching the graph

The graph is

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

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

A rectangle has one corner in quadrant I on the graph of y=16-x2, another at the origin, a third on the positive y-axis and the fourth on the positive x-axis. See the figure.

Part (a): Express the area Aof the rectangle as a function of x.

Part (b): What is the domain of A?

Part (c): Graph A=Ax. For what value of xis Alargest?

True or False

To obtain the graph of f(x)=x+2, shift the graph ofy=x horizontally to the right 2units.

The inequality-1<x<3can be written in interval notation as___________.

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

h(x)=-x33x2-9
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

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.