Advanced MathEasyOpening direction of a parabola
Advanced Math practice question
In the xy-plane, which direction does the graph of y = −x² + 5 open?
- A. DownwardCorrect
- B. Upward
- C. To the left
- D. To the right
Answer: A. Downward
The x² coefficient is negative (−1), so the parabola opens downward from its peak at (0, 5).
Why the other answers are wrong
- B. Upward
- A positive x² coefficient opens upward; here the coefficient is −1.
- C. To the left
- Sideways parabolas come from x as a function of y, not from y = −x² + 5.
- D. To the right
- This graph is a function of x, so it opens vertically — downward here.
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