Post on 02-Jan-2016
Solving Quadratics by Graphing 1/7Using a
GraphTo solve a quadratic equation with a graph, look for the points where the graph crosses the x-axis
Solving Quadratics by Graphing 1/7Using a
GraphTo solve a quadratic equation with a graph, look for the points where the graph crosses the x-axis
x-axis
Solving Quadratics by Graphing 1/7Using a
GraphTo 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 1/7Using a
GraphTo 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 1/7Using a
GraphFind the solutions to the function f(x)=x2 – x – 6
x-axis
crosses here and here
Solving Quadratics by Graphing 1/7Using a
GraphFind the solutions to the function f(x)=x2 – 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)
Solving Quadratics by Graphing 1/7By
GraphingMake your own graph, then see where it crosses the x-axis.
f(x) = x2 – 6x + 5
1.Find the vertex using 2.Create a table3.Add to the table until you get a 0 for y4.Graph the points you found
a
b
2
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex using
b = -6 a = 1
a
b
2
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex using
b = -6 a = 1
= =
a
b
2
a
b
2
)1(2
)6(
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex using
b = -6 a = 1
= = = 3
a
b
2
a
b
2
)1(2
)6(2
6
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex using
b = -6 a = 1
= = = 3
(3)2 – 6(3) + 5 = -4
a
b
2
a
b
2
)1(2
)6(2
6
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex using
b = -6 a = 1
= = = 3
(3)2 – 6(3) + 5 = -4 vertex = (3,-4)
a
b
2
a
b
2
)1(2
)6(2
6
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex : (3,-4)2.Create a table
Start with your vertex
3
-4
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex : (3,-4)2.Create a table
Go out by 1 until you get a 0 for y
3 4
-4 -3
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex : (3,-4)2.Create a table
Go out by 1 until you get a 0 for yStop.
3 4 5
-4 -3 0
Solving Quadratics by Graphing 1/7By
Graphingf(x) = x2 – 6x + 5
1.Find the vertex : (3,-4)2.Create a table
Fill in the other side of the table an equal number of places
1 2 3 4 5
0 -3 -4 -3 0