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Chapter 2: Q. 21 (page 113)

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

Shifted up 4units.

Short Answer

Expert verified

The function is y=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 up 4 units.

If the graph is shifted upward by kunits that means kis added 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

Suppose that the graph of a function gis known. The graph of y=g(x)+2may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.

If x=-2, the value of the expression 3x2-5x+1xis _______.

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

Shifted to the right4 units

Exploration Graph y=x2,y=x4, and y=x6 on the same screen. What do you notice is the same about each graph? What do you notice that is different?

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.

h(x)=12x
See all solutions

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