Chapter 8.4, Problem 4E

To determine

The function which does not belong to the other three functions.

Answer to Problem 4E

The graph will not have the vertical stretch or shrink.

Explanation of Solution

Given information:

Explain your reasoning

  $\begin{array}{l}f\left(x\right)=8{\left(x+4\right)}^2\\ f\left(x\right)={\left(x-2\right)}^2+4\\ f\left(x\right)=2{\left(x+0\right)}^2\\ f\left(x\right)=3{\left(x+1\right)}^{2+1}\end{array}$

Formula used:

The graph x represents the horizontal axis and the y-axis represent the vertical axis.

Calculation:

  $f\left(x\right)={\left(x-2\right)}^2+4$ does not belong because it is the only graph that will not have a vertical stretch or shrink.

Conclusion:

The graph will not have the vertical stretch or shrink.