Question

If a quadratic equation has a negative leading coefficient and a discriminant of -40, which of the following is true?

1. The graph will be a parabola that opens down and does not touch the x-axis.

2. The graph will be a parabola that opens up and does not touch the x-axis.

3. The graph will be a parabola that opens down and touches the x-axis once.

4. The graph will be a parabola that opens down and touches the x-axis twice.​

Answer 1

Negative leading coefficient. Therefore it is the downward paeabola.

Discriminant of -40 therefore the parabola does not touch x-axis

so the answer is 1.