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The graph of y = (x + 3)3 + 1 is the graph of y = x3 shifted
  • a)
    3 units to the right and 1 unit down
  • b)
    3 units to the left and 1 unit down
  • c)
    3 units to the left and 1 unit up
  • d)
    3 units to the right and 1 unit up
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The graph of y = (x + 3)3 + 1 is the graph of y = x3 shifteda)3 units ...
(x + 3)3 would be shifted 3 units to the left and hence (x + 3)3 + 1 would shift 3 units to the left
and 1 unit up. Option (c) is correct.
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Most Upvoted Answer
The graph of y = (x + 3)3 + 1 is the graph of y = x3 shifteda)3 units ...
Explanation:
The given equation is y = (x-3)3 - 1.

To determine the shift of the graph, we need to compare it with the standard equation of a cubic function y = x3.

We can see that the given equation is the standard cubic function shifted 3 units to the right and 1 unit up.

Therefore, the correct answer is option C - 3 units to the left and 1 unit up.

To summarize:

Comparison with standard equation: y = x3
Shift of the graph: 3 units to the right and 1 unit down
Correct answer: C - 3 units to the left and 1 unit up
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The graph of y = (x + 3)3 + 1 is the graph of y = x3 shifteda)3 units to the right and 1 unit downb)3 units to the left and 1 unit downc)3 units to the left and 1 unit upd)3 units to the right and 1 unit upCorrect answer is option 'C'. Can you explain this answer?
Question Description
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