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Chapter 2: Q. 6 (page 112)

True or False

To obtain the graph of f(x)=x3+5,shift the graph of y=x3vertically up 5units.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Step 1. Given Information

There is the graph of f(x)=x3+5.

We have to tell whether the statement is true or false if we shift the graph ofy=x3vertically up5units.

02

Step 2. Analyze the graph

The concept is if a positive real number k is added to the outputs of a function y=f(x),the graph of the new function y=f(x)+k is the graph of f shifted vertically up k units.

So, if 5is added to the outputs of a function y=x3, the graph of the new function f(x)=x3+5is the graph of function shifted vertically up5units.

Therefore, the statement is true.

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