Graphing Quadratic Equation At the end of the

Quadratic Equation y = ax 2 + bx + c 2 ax is the

Identifying Terms 4 2 Example f(x)=5 x -7 x+1 4 Quadratic term 4 Linear

Identifying Terms 2 4 Example f(x) = 4 x - 3 4 Quadratic term

Identifying Terms 4 Now you try this problem. 2 4 f(x) = 5 x

Quadratic Solutions 4 The number of real solutions is at most two. No solutions

Identifying Solutions 2 4 Example f(x) = x - 4 Solutions are -2 and

Identifying Solutions 4 Now you try this 2 f(x) = 2 x - x

Graphing Quadratic Equations 4 The graph of a quadratic equation is a parabola. 4

Graphing Quadratic Equations 4 One method of graphing uses a table with arbitrary 4

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Graphing Quadratic Equation At the end of the period, you will learn: 1. Tell the behavior of a parabola 2. Graph a parabola 1

Quadratic Equation y = ax 2 + bx + c 2 ax is the quadratic term. bx is the linear term. c is the constant term. The highest exponent is two; therefore, the degree is two. 2

Identifying Terms 4 2 Example f(x)=5 x -7 x+1 4 Quadratic term 4 Linear term 4 Constant term 5 x 2 -7 x 1 3

Identifying Terms 2 4 Example f(x) = 4 x - 3 4 Quadratic term 4 Linear term 4 Constant term 2 4 x 0 -3 4

Identifying Terms 4 Now you try this problem. 2 4 f(x) = 5 x - 2 x + 3 4 quadratic term 5 x 2 4 linear term -2 x 4 constant term 3 5

Quadratic Solutions 4 The number of real solutions is at most two. No solutions One solution Two solutions 6

Identifying Solutions 2 4 Example f(x) = x - 4 Solutions are -2 and 2. 7

Identifying Solutions 4 Now you try this 2 f(x) = 2 x - x problem. Solutions are 0 and 2. 8

Graphing Quadratic Equations 4 The graph of a quadratic equation is a parabola. 4 The roots or zeros are the xintercepts. 4 The vertex is the maximum or minimum point. 4 All parabolas have an axis of symmetry. 9

Graphing Quadratic Equations 4 One method of graphing uses a table with arbitrary 4 x-values. y = x 2 - 4 x x 4 Graph y 0 0 1 -3 2 -4 3 -3 4 0 10