Advanced MathEasyRecognising a quadratic from its rule
Advanced Math practice question
A function assigns to each number x the value x² + 1. Which of the following describes the graph of this function in the xy-plane?
- A. A parabola opening upward with its lowest point at (0, 1)Correct
- B. A line with slope 1
- C. A parabola opening downward
- D. A horizontal line at y = 1
Answer: A. A parabola opening upward with its lowest point at (0, 1)
x² + 1 is smallest, 1, at x = 0 and rises either side.
Why the other answers are wrong
- B. A line with slope 1
- A line has no x² term.
- C. A parabola opening downward
- The x² coefficient is positive.
- D. A horizontal line at y = 1
- The value changes with x.
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