REVIEW: Quadratic Formula & Discriminant

What is this formula?

For the function pictured, is the discriminant positive, negative, or zero?

Find the discriminant for the quadratic equation $$2x^2 + 3x - 2 = 0$$ .

Determine the nature of the roots for the quadratic equation $$x^2 + 2x + 1 = 0$$ .

Find the discriminant for the quadratic equation $$3x^2 - 2x + 5 = 0$$ .

Find the discriminant and determine the nature of roots for the quadratic equation $$x^2 - 6x + 9 = 0$$ .

Find the discriminant for the quadratic equation $$x^2 - 7x + 10 = 0$$ .

Determine the nature of the roots for the quadratic equation $$x^2 + 4x + 5 = 0$$ .

Find the discriminant and determine the nature of roots for the quadratic equation $$x^2 + 3x + 2 = 0$$ ?

Solve using the quadratic formula: $$2x^2 - 3x - 2 = 0$$ .