Question 31502
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.

Create three unique equations where the discriminant is positive
Y=X^2-5X+6=0
D=5^2-4*6=25-24=1
Y HAS POSITIVE AND NEGATIVE VALUES
, zero, 
Y=X^2-4X+4=0
D=4^2-4*4=0
Y IS ALWAYS >=0

or negative
Y=X^2+4=0
D=0-4*4=-16
Y IS ALWAYS POSITIVE.(OR IT CAN BE ALWAYS NEGATIVE...AS IN CASE OF Y=-X^2) 
. For each case, explain what this value means to the graph of y = ax2 + bx + c.
{{{ graph( 600, 600, -5, 5, -10, 10, x^2-5*x+6,x^2-4*x+4,x^2+4) }}}