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Colt1911 [192]
3 years ago
5

Which of the following parabolas opens down?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

ANSWER

The correct answer is C.

EXPLANATION

  • The directrix of the parabolas are parallel to the x-axis.
  • This means that, the orientation of the parabola is parallel to the y-axis.
  • We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.
  • If the directrix is above the focus, then the parabola opens downwards.
  • On the other hand if the directrix is below the focus , then the parabola must open upwards.
  • If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.

The correct answer is C.

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Step-by-step explanation:

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The discriminant of the quadratic equation is D = b² - 4ac

From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

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