Advanced MathEasyChoosing the graph shape of a quadratic
Advanced Math practice question
In the xy-plane, the graph of y = x² + 2 has which of the following shapes?
- A. A U-shaped curve with its lowest point at (0, 2)Correct
- B. A straight line through (0, 2)
- C. A U-shaped curve with its lowest point at (2, 0)
- D. A curve that never rises above y = 2
Answer: A. A U-shaped curve with its lowest point at (0, 2)
x² is at least 0, so y is at least 2, reached at x = 0.
Why the other answers are wrong
- B. A straight line through (0, 2)
- A squared term does not give a straight line.
- C. A U-shaped curve with its lowest point at (2, 0)
- The lowest point is at x = 0, not x = 2.
- D. A curve that never rises above y = 2
- y grows without bound as x moves away from 0.
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