Question

this parabola shows no real solutions. why does this parabola have no real solutions, but 2 imaginary solutions? because the parabola goes down then up. because the parabola crosses the y - axis. because parabola does not cross the x - axis and crosses the axis on an imaginary plane. because the parabola is pointing upward.

Explanation:

Real solutions of a quadratic function (graphed as a parabola) correspond to x-intercepts, where the parabola crosses the x-axis. Since this parabola never intersects the x-axis, there are no real solutions. By the Fundamental Theorem of Algebra, a quadratic equation must have 2 solutions, which exist in the imaginary plane when there are no real x-intercepts.

Answer:

because parabola does not cross the x-axis and crosses the axis on an imaginary plane.