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Question
For the curve y = x3 given in Figure 1.67, draw
y = x3 − 1 
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Solution
y = x3 – 1
| x | 0 | 1 | – 1 | 2 | – 2 |
| y | – 1 | 0 | – 2 | 7 | – 9 |
The graph of y = x3 – 1, causes the graph y = x3 a shift to the downward by 1 unit.
The graph of y = f(x) – d, d > 0 causes the graph y = f(x) a shift to the downward by d units.
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