Using the graph as your guide, complete the following statement. the discriminant of the function is

By definition, the roots of a quadratic function can be found using an equation of the form:
 
 The discriminant is the following part of the expression:
 
 Therefore, we have three cases:

 Case 1:
 
 Then there are two real solutions

 Case 2:
 
 Then there is a real solution with multiplicity two

 Case 3:
 
 There are no real solutions

 When the graph of a quadratic equation has no cut points with the x axis, then we are in case number 3.

 
 B. Negative 
 

A good way to think of it is in US quarters, 4 go into a dollar which is a whole or 100. Each quarter is 25 cents. Each quarter of a circle is 25%, so it would be 75%