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Chapter 4: Q. 5 (page 245)

In Problems 5, graph each function using transformations (shifting, compressing, stretching, and reflection). Show all the stages.

f(x)=(x+2)3

Short Answer

Expert verified

The graph is shown below:

Step by step solution

01

Given information

The given function isf(x)=(x+2)3.

02

Graph the base function

To help establish the graph, find the points at x=-2,x=0and x=2.

y=-23=8y=03=0y=23=8

The graph is shown below:

03

Graph the given function

Shift the previous graph 2units to the left to get the desired graph for the given function fx.

To help establish the graph, determine three points by subtracting 2 from the x-coordinates of the points in step 2.

Maintain the y-coordinates of these points.

The given function graph is shown below:

04

Write the conclusion

The graph of the given function is shown below:

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Most popular questions from this chapter

Solve the inequality algebraically.

x4>x2

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=3x4-3x3+x2-x+1

Find the domain of the rational function.

Rx=xx3-8

Solve each inequality algebraically.

(x-1)(x+1)x鈮�0

Find the real zeros of f. Use the real zeros to factor f.

f(x)=x3-8x2+17x-6
See all solutions

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