6.2 Solving Quadratic Equations by Graphing Estimate solutions of quadratic equations by using a table.

Quadratic equation A Quadratic function set to a value is called a Quadratic equation. The solutions for x are called roots or zeros.

Find the Roots of the equation Find the x value of the vertex to start your table.

Make a Table. Start with 1.5 (x, y) (1.5,- 6.25 ) (1.5)2 – 3(1.5) – 4 (1.5,- 6.25 ) (1.5)2 – 3(1.5) – 4 2.25 – 4.5 – 4 = -6.25 (1,- 6) 12 – 3(1) – 4 (2,- 6) 22 – 3(2) – 4= -6 (0,- 4) (3,- 4) 32 – 3(3) – 4 = -4 (-1, 0) (-1)2 – 3(-1) – 4 = 0 ( 4, 0) 42 – 3(4) – 4=0 Roots ( - 1, 0) , (4, 0)

Quadratic equations have either 2, 1 or 0 solutions 2 solutions, where the parabola hits the x axis two times.

Quadratic equations have either 2, 1 or 0 solutions 1 solutions, where the parabola hits the x axis one time. If the Vertex is On the Graph it Has only one root

Quadratic equations have either 2, 1 or 0 solutions No solutions, where the parabola does not hits the x axis.

How do I find the roots of a quadratic equation with a table The graph of the quadratic: Must be given of find a table

How do I find the roots of a quadratic equation with a table The graph of the quadratic Given Table

How do I find the roots of a quadratic equation with a table The graph of the quadratic Table Between -3 and -2 2 and 3 is a zero, why?

Homework Page 297- 298 # 15 – 37 odd, 38,41

Homework Page 298 # 20 – 36 even