Question

In a quadratic function, recall that the discriminant D = b^2 - 4ac. For which function is it true that a > 0 and D < 0?

Answer 1

When
"a" is positive, the graph curves upwards
"a" is negative, the graph curves downwards

If D > 0, the quadratic equation has 2 real solutions.
If D = 0, the quadratic equation has 1 real solution.
If D < 0, the equation has 2 conjugate imaginary solutions.

Answer 2

So you're looking at a>0, which is positive, and D<0, imaginary, or, no roots.
What will the graph be?