2009
10.29
10.29
The graph of the quadratic function is parabola.
 If , the parabola opens upwards. If , it opens downwards
 The vertex is
 The yinteracept =
 The xintercepts are obtained by setting and solving for
This relationship between the value inside the square root (the discriminant), the type of solutions (two different solutions, one repeated solution, or no real solutions), and the number of xintercepts (on the corresponding graph) of the quadratic is summarized in this table:



a positive number inside the square root 
zero inside the square root 
a negative number inside the square root 
two real solutions  one (repeated) real solution  two complex solutions 
two distinct xintercepts  one (repeated) xintercept  no xintercepts 
References:
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