To fill in the blanks according to the given question
Answer to Problem 4E
A non-rigid transformation of
Explanation of Solution
The best way to understand this problem is by taking an example and solving it accordingly.
Let,
For vertical stretch
Calculation for graph:
Consider
Values of x | Values of f (x ) |
0 | 0 |
1 | 1 |
-1 | 1 |
2 | 4 |
3 | 9 |
By taking different values of x , the graph can be plotted.
Calculation for graph:
Consider
Values of x | Values of h (x) |
0 | 0 |
1 | 3 |
-1 | 3 |
2 | 12 |
3 | 27 |
By taking different values of x , the graph can be plotted.
Graph for both
Interpretation:
From the above graph, it is clear that
For vertical shrink
Calculation for graph:
Consider
Values of x | Values of f (x ) |
0 | 0 |
1 | 1 |
-1 | 1 |
2 | 4 |
3 | 9 |
By taking different values of x , the graph can be plotted.
Calculation for graph:
Consider
Values of x | Values of h (x) |
0 | 0 |
1 | 0.5 |
-1 | 0.5 |
2 | 2 |
3 | 4.5 |
By taking different values of x , the graph can be plotted.
Graph for both
Interpretation:
From the above graph, it is clear that
Conclusion:
Hence,
A non-rigid transformation of
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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