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1 October, 17:12

Which of the following are possible equations of a parabola that has no real solutions and opens downward?

y > = - (x + 4) 2 - 2

y > = - (x + 4) 2 + 2

y > = - x2 - 2

y > = (x - 4) 2 + 2

y > = - (x - 4) 2 - 2

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  1. 1 October, 20:49
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    We are given the following conditions:

    the function should be a parabola

    the function should have no real solutions

    the function should open downward

    the standard form of a parabola at center (h, k)

    y - k = 4a (x-h) ^2

    The functions which open downward are

    y = - (x+4) ^2 - 2

    y = - (x + 4) ^2 + 2

    y = - x^2 - 2

    y = - (x - 4) ^2 - 2

    solve for the solutions of each function by using the quadratic formula, if the values of x are ideal numbers, the function has no real solutions, thus, it is your answer.
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