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27 November, 01:12

parabola is defined by the equation x2 = y. In which direction will the parabola open? A. up B. down C. right D. left E. cannot be determined

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  1. 27 November, 01:17
    0
    The parabola will open upwards.
  2. 27 November, 01:32
    0
    Answer: Option A: Up

    Step-by-step explanation:

    When we have a quadratic equation of the form:

    y = ax^2 + bx + c

    The sign of "a" defines how the equation "opens"

    This is because a is multiplicating the term that grows faster as x changes (the biggest power in the polynomial, x^2)

    So if a is positive, as IxI grows, the value of y (x) will be also positive.

    if a is negative, as IxI grows the value of y (x) will also be negative.

    So here we have the equation y = x^2

    here we have a = 1, b = 0 and c = 0.

    Here "a" is positive, this means that the parabola will open up, so the correct option is A.
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