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Question
For the curve y = x3 given in Figure 1.67, draw
y = (x + 1)3 with the same scale
Solution
y = (x + 1)3
| x | 0 | 1 | – 1 | 2 | – 2 |
| y | 1 | 8 | 0 | 27 | – 1 |
The graph y = (x + 1)3 causes the graph of y = x3 a shift to the left by 1 unit.
The graph of y = f(x + c), c > 0 causes the graph y = f(x) a shift to the left by c units.
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