Concept explainers
To graph
In the case of both the directions, the
Given the function:
Concept Used:
Given a function
Horizontal stretch or shrink:
The transformation
The transformation
Vertical Stretch or Shrink:
The transformation
The transformation
Calculation:
The function
The function
A vertical stretch is applied by a factor of
The final window is scaled so that one unit on the
-axis:
Now, the graphs on
Observe that the ratio of the units on the
Thus, if we performed a stretch or shrink along the vertical direction by a factor of
Likewise, if we performed a horizontal stretch or shrink by a factor of
Now, the ratio
That is, wherever be the stretch or shrink, the
Conclusion:
In the case of both the directions, the
Chapter 1 Solutions
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
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