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

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.