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Advanced MathEasyOpening direction of a parabola

Advanced Math practice question

In the xy-plane, which direction does the graph of y = −x² + 5 open?

  1. A. DownwardCorrect
  2. B. Upward
  3. C. To the left
  4. 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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