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Question
From the curve y = x, draw y = 2x
Solution
| x | 0 | 1 | 2 | 3 | − 1 | − 2 | − 3 |
| y | 0 | 1 | 2 | 3 | − 1 | − 2 | − 3 |
y = 2x
| x | 0 | 1 | 2 | 3 | − 1 | − 2 | − 3 |
| y | 0 | 2 | 4 | 6 | − 2 | − 4 | − 6 |
The graph of y = 2x compresses the graph y = x towards the y-axis that is moving away from the x-axis since the multiplying factor is 2 which is greater than 1.
The graph of y = k f(x), k > 0 moves away from the x-axis if k is greater than 1.
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