Advanced MathEasyVertical shift of a parabola
Advanced Math practice question
In the xy-plane, how does the graph of y = x² + 1 compare with the graph of y = x²?
- A. It is shifted up by 1 unit.Correct
- B. It is shifted down by 1 unit.
- C. It is shifted right by 1 unit.
- D. It is twice as wide.
Answer: A. It is shifted up by 1 unit.
Adding 1 to every output moves the whole graph up by 1.
Why the other answers are wrong
- B. It is shifted down by 1 unit.
- Subtracting 1 would shift it down.
- C. It is shifted right by 1 unit.
- A shift right would come from (x − 1)².
- D. It is twice as wide.
- The shape is unchanged; only the position moves.
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