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QUADRATIC FUNCTION SUMMARY
QUADRATIC FUNCTION SUMMARY  
STANDARD FORM: f(x) = ax^2 + bx + c  
Domain  Graph (shape) 
Vertex  Range  yintercept  xintercept( s) 

a > 0  all real numbers * 
Lowest point (b/2a, f(b/2a) 
f(b/2a) to infinity 
(0, c)  solutions to f (x) = 0 

a < 0  all real numbers * 
Highest point (b/2a, f(b/2a) 
negative infinity to f(b/2a) 
(0, c)  solutions to f (x) = 0 

VERTEX FORM : f(x) = a(x – h)^2 + k  
a > 0  all real numbers* 
(h, k)  k to infinity  (0, ah^2 +k)  solutions to f(x) = 0 ( Use square root solution method ) 

a < 0  all real numbers* 
(h, k)  negative infinity to k 
(0, ah^2 +k)  solutions to f(x) = 0 ( Use square root solution method ) 

* A quadratic function used as a physical model may have restrictions. 
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