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Q. 6

Expert-verifiedFound in: Page 112

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

**True or False**

To obtain the graph of $f\left(x\right)={x}^{3}+5,$ shift the graph of $y={x}^{3}$ vertically up $5$ units.

The given statement is true.

There is the graph of $f\left(x\right)={x}^{3}+5.$

We have to tell whether the statement is true or false if we shift the graph of $y={x}^{3}$ vertically up $5$ units.

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

So, if $5$ is added to the outputs of a function $y={x}^{3}$, the graph of the new function $f\left(x\right)={x}^{3}+5$ is the graph of function shifted vertically up $5$units.

Therefore, the statement is true.

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