What is the vector that results from transforming a⃗  by the transformation matrix?

a⃗ =[3−1] and B=[73−6−4]

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   ⟨ $$,⟩

Discuss: Obtaining Transformations: Can the function be obtained from by transformation? If so, describe the transformation needed. The function and are describe algebraically as follows;

,

Discuss: Obtaining Transformations: Can the function be obtained from by transformation? If so, describe the transformation needed.

The functions and are described graphically in the figure.

Transformations of y = 1/x² In Example 2 we saw that some simple rational functions can be graphed by shifting, stretching, or reflecting the graph of . In this exercise we consider the rational functions that can be graphed by transforming the graph of .

One of the following functions can be graphed by transforming the graph of ; the other cannot. Use transformations to graph the one that can be, and explain why this method doesn’t work for the other.