7 January 2011 Algebra 2. Solving Quadratics by Graphing 1/7 Using a Graph To solve a quadratic equation with a graph, look for the points where the graph.

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Presentation transcript:

7 January 2011 Algebra 2

Solving Quadratics by Graphing 1/7 Using a Graph To solve a quadratic equation with a graph, look for the points where the graph crosses the x-axis

Solving Quadratics by Graphing 1/7 Using a Graph To solve a quadratic equation with a graph, look for the points where the graph crosses the x-axis x-axis

Solving Quadratics by Graphing 1/7 Using a Graph To solve a quadratic equation with a graph, look for the points where the graph crosses the x-axis x-axis crosses here and here

Solving Quadratics by Graphing 1/7 Using a Graph To solve a quadratic equation with a graph, look for the points where the graph crosses the x-axis x-axis crosses here and here solutions: (-1,0) and (4,0)

Solving Quadratics by Graphing 1/7 Using a Graph Find the solutions to the function f(x)=x 2 – x – 6

Solving Quadratics by Graphing 1/7 Using a Graph Find the solutions to the function f(x)=x 2 – x – 6 x-axis crosses here and here

Solving Quadratics by Graphing 1/7 Using a Graph Find the solutions to the function f(x)=x 2 – x – 6 x-axis crosses here and here Solutions: (-2,0) and (3,0)

What are the solutions to the function f(x) = x² – 3x – 10 1.(0,2) and (0,5) 2.(0,2) and (0,-5) 3.(0,-2) and (0,5) 4.(2,0) and (5,0) 5.(-2,0) and (5,0)

What are the solutions to the function f(x) = x 2 – 6x (0,2) 2.(0,3) 3.(2,0) 4.(3,0)

What are the solutions to the function f(x) = x 2 – 6x (0,0) 2.(0,3) 3.No Solution 4.(3,0)

Solving Quadratics by Graphing 1/7 By Graphing Make your own graph, then see where it crosses the x-axis. f(x) = x 2 – 6x Find the vertex using 2.Create a table 3.Add to the table until you get a 0 for y 4.Graph the points you found

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex using b = -6 a = 1

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex using b = -6 a = 1 = =

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex using b = -6 a = 1 = = = 3

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex using b = -6 a = 1 = = = 3 (3) 2 – 6(3) + 5 = -4

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex using b = -6 a = 1 = = = 3 (3) 2 – 6(3) + 5 = -4 vertex = (3,-4)

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex : (3,-4) 2.Create a table Start with your vertex 3 -4

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex : (3,-4) 2.Create a table Go out by 1 until you get a 0 for y

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex : (3,-4) 2.Create a table Go out by 1 until you get a 0 for y Stop

Solving Quadratics by Graphing 1/7 By Graphing f(x) = x 2 – 6x Find the vertex : (3,-4) 2.Create a table Fill in the other side of the table an equal number of places

Solving Quadratics by Graphing 1/7 By Graphing 4. Graph the points you found Solutions: (1,0) and (5,0)