Graphing Nonlinear Functions Pages 694 – 697 Section 13.2 Graphing Nonlinear Functions Pages 694 – 697

In a _________ function, the input variable is squared In a _________ function, the input variable is squared. The graph of a quadratic function is a U-shaped curve called a ________. The curve may open ______ or ________.

x y = 2x2 y -2 -1 1 2 2(-2)2 = 8 (-2,8) 2(-1)2 = 2 (-1,2) 2(0)2 = 0 1 2 2(-2)2 = 8 (-2,8) 10 2(-1)2 = 2 (-1,2) 8 2(0)2 = 0 (0,0) 6 2(1)2 = 2 (1,2) 4 2(2)2 = 8 (2,8) 2 -6 -4 -2 2 4 6

The equation y = |x| is an ________ _____ ________ The equation y = |x| is an ________ _____ ________. The graph of y = |x| is V-shaped.

x y = |x| y -2 -1 1 2 |-2| = 2 (-2,2) |-1| = 1 (-1,1) |0| = 0 (0,0) 1 2 |-2| = 2 (-2,2) 10 |-1| = 1 (-1,1) 8 |0| = 0 (0,0) 6 |1| = 1 (1,1) 4 |2| = 2 (2,2) 2 -6 -4 -2 2 4 6

Homework: WB page 218 All problems