IV. Further investigations in the parabola: 1. The relationship between the discriminant and the parabola: For each of the following parabolas, determine the discriminant b2 - 4ac, the x-intercepts of the parabola and sketch its graph. a.) y = x2 + 5*- 2
d.) y = x2 + 3x+S
b.) y - x2 + 6x + 9
e.) y =- 2x2 - 7
c.) y = -2x2 - 6x + 1
d.) y =
Using the information provided above, what can you determine about the NUMBER of x-intercepts the parabola has, if the value of the discriminant is: a positive number? X
a negative number? Zero?