16Hit1600
Advanced MathEasy–MediumRecognising a downward parabola

Advanced Math practice question

Which of the following functions has a graph in the xy-plane that is a parabola opening DOWNWARD?

  1. A. y = 5 − x²Correct
  2. B. y = x² − 5
  3. C. y = 5x
  4. D. y = 5ˣ

Answer: A. y = 5 − x²

A parabola opens downward when the coefficient of x² is negative. y = 5 − x² is y = −x² + 5.

Why the other answers are wrong

B. y = x² − 5
x² − 5 has a positive x² coefficient, so it opens upward.
C. y = 5x
5x is a straight line.
D. y = 5ˣ
5ˣ is an exponential curve, not a parabola.

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