4 1 4 3 Nonlinear Relationships fguilbert Linear

4. 1 -4. 3 Nonlinear Relationships fguilbert

Linear or nonlinear ? y= 2 X fguilbert

Exploring Parabolas Let’s review exponents. T we’ll see why the graph is curved. fguilbert

Find each. 2 2 =2 • 2=4 2 3 =3 • 3=9 2 4 = 4 • 4 = 16 fguilbert

Review. Find each. (- 2) 2= (- 2) = 4 (- 3) = 9 2 = (- 4) = 16 2 = fguilbert

Find each. -2 2 Careful, not the 2 same as ( -2 ) fguilbert

Find each. -2 =-(2 2 2) -2 • 2 -4 - 3 = -9 2 fguilbert

X Y 0 0 2 X Graph 0 Y = 0 fguilbert

X 0 1 Y 0 1 Graph 1 Y = fguilbert 2 1 X

X 0 1 2 Y 0 1 4 4=2 Graph Y 2 X 2 fguilbert

X 0 1 2 3 Y 0 1 4 9 Graph 9 Y = fguilbert 2 3 X

X 0 1 2 3 -1 Y 0 1 4 9 1 Graph 1 Y fguilbert 2 2 =(-1) X

X 0 1 2 3 -1 -2 Y 0 1 4 9 1 4 Graph 4 Y fguilbert 2 2 =(-2) X

Graph Y = Left side is same as the (-2, 4) right side. fguilbert 2 X (2, 4)

Graph Y = Where is the line of symmetry? fguilbert 2 X

Y= 2 X Y =. 25 2 X If the coefficient is < 1, graph is wider. fguilbert

Y= 2 X Y= 3 2 X If the coefficient is > 1, graph is narrower. fguilbert

Y= 2 X Y= - 2 X If the coefficient is negative, graph opens down. fguilbert

Y= 2 X Vertex minimum fguilbert

Y= 2 -X Vertex maximum fguilbert

Review: ( x + 2 ) ( x + 3) 2 x + 3 x +2 x +6 2 x + 5 x + 6 fguilbert

thought for the day What luck for rulers that men do not think. Hitler fguilbert