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Chapter 2: Q. 22 (page 113)

Write the function whose graph is the graph of y=x3, but is:

Shifted down 4units.

Short Answer

Expert verified

The function isy=x3-4

Step by step solution

01

Step 1. Given function

The given function isy=x3

02

Step 2. Find the function for graph shifted down 4 units. 

If the graph is shifted down by kunits that means kis subtracted to the right side of the function.

Therefore, the new function will bey=x3-4

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Most popular questions from this chapter

Solve the inequality: 3-2x>5. Graph the solution set.

In Problems 19-26,write the function whose graph is the graph of y=x3but is:

Shifted to the right4 units

If f(x)=-3xifx<-10ifx=-12x2+1ifx>-1

Find: (a)f(-2) and (b) f(-1) (c)f(0)

Concepts and Vocabulary

A function f is ___________ on an open interval I if, for any choice of x1 and x2 in I, withx1<x2wehavef(x1)<f(x2)

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

f(x)=x2+4
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