7. For which discriminant is the graph possible?

A. b2 – 4ac = 0

B. b2 – 4ac = –1

C. b2 – 4ac = 4

C. b2 – 4ac = 4

Step-by-step explanation:

The graph is possible for  

Step-by-step explanation:

we know that

The discriminant of a quadratic equation of the form

is equal to

If D=0 the quadratic equation has only one real solution

If D>0 the quadratic equation has two real solutions

If D<0 the quadratic equation has no real solution (complex solutions)

In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)

so

therefore

The graph is possible for

b^2 – 4ac = 4

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.