1. Graphing Quadratics
In Intercept form

2. Intercept form Intercept form is the factored form of a quadratic
When you solve a quadratic by factoring, you have found the x intercepts of the quadratic graph

3. Changing from intercept form to standard form
Foil the two binomials
Write in the form ax^2+bx+c=0

4. Example
(2x+3)(x+4)=0

5. Example
(x – 2)(x – 6)=0

6. You Try
(3x + 4)(2x – 3)=0

7. Changing from standard form to intercept form
Factor the quadratic

8. Example
X^2 + 3x + 2 =0

9. Example
3x^2 – x – 2

10. You Try
2x^2 +2x – 24

11. Graphing from intercept form
Factor the quadratic
Set each factor equal to 0 and solve for your x-intercepts'
Plot each x intercept on the graph
Find the midpoint between the x intercepts ( this is the x intercept of the vertex)
Plug the number found in step 4 into the factored form of the quadratic and solve ( this is the y-intercept of the vertex)
Plot the vertex
Draw in a U shape graph using the vertex and the x-intercepts

12. Example
2x^2 +2x – 24
Vertex
Domain
Range

13. Example
X^2 – 6x – 16
Vertex
Domain
Range

14. Example
-2x^2 – 10x – 12
Vertex
Domain
Range

15. You Try
X^2 – x – 6
Vertex
Domain
Range

16. Homework
Worksheet
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