If y = 12x - 7 were changed to y = 12x + 1, how would the graph of the new function compare with the original?
Question
If y = 12x - 7 were changed to y = 12x + 1, how would the graph of the new function compare with the original?
Solution
The graph of the new function y = 12x + 1 would be identical in shape to the original function y = 12x - 7, as the slope remains the same (12). However, it would be shifted up by 8 units on the y-axis. This is because the y-intercept has changed from -7 to +1, which is an upward shift of 8 units.
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