1. Parabola and its Intercepts There are 2 intercepts to calculate : y – interceptwhere x = 0 substitute x = 0 into the equation and solve for y x – interceptswhere y = 0 ( sometimes there are NONE ) Two ways to solve : a) Factoring Method b) Quadratic Formula x - intercepts y - intercept

2. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :

3. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept- substitute x = 0 and solve for y

4. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 )

5. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 ) x – intercept- is the equation factorable ? - are there 2 factors of 8 that add/sub = 6 ?

6. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 ) x – intercept- is the equation factorable ? - are there 2 factors of 8 that add/sub = 6 ? YES

7. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 ) x – intercept YES Factoring Method…

8. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 ) x – intercept - set y = 0 and solve for x Factoring Method…

9. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 ) x – intercept Factoring Method…

10. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 8 ) x – intercept = ( - 4, 0 ) and ( - 2, 0 )

11. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :

12. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept- substitute x = 0 and solve for y

13. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 )

14. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 ) x – intercept- this equation is not factorable

15. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 ) x – intercept- this equation is not factorable QUADRATIC FORMULA a = 3 b = - 5 c = 1

16. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 ) x – intercept QUADRATIC FORMULA a = 3 b = - 5 c = 1

17. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 ) x – intercept = - You can keep your answer like this

18. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 ) x – intercept = - Or split it up like this

19. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 ) x – intercept = - Or use decimals, round to 2 places

20. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :

21. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept

22. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 )

23. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 ) x – intercept

24. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 ) x – intercept Equation is not factorable, use quadratic formula

25. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 ) x – intercept Equation is not factorable, use quadratic formula a = 5 b = 2 c = 3

26. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 ) x – intercept Equation is not factorable, use quadratic formula a = 5 b = 2 c = 3

27. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 ) x – intercept Equation is not factorable, use quadratic formula a = 5 b = 2 c = 3 Undefined, therefore there are NO x - intercepts

28. Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 ) x – intercept = NONE Undefined, therefore there are NO x - intercepts