1. Warm Up Find the distance between the points 1. (3,4)(6,7) 2. (-3,7)(-7,3)

2. Algebra 3 Chapter 10:Quadratic Relations and Conic Sections Lesson 2: Parabolas

3. VOCAB Parabola - The set of all points equidistant from the focus and directrix – Focus lies on the axis of symmetry – Directrix is perpendicular to the axis of symmetry

4. Today Today we will focus on learning how to write the equation of a parabola when we know the focus and the vertex Tomorrow we will look at the graphs

5. Types Standard Form with vertex (0,0) EquationFocusDirectrixAxis Of Symmetry (0,p)y = -px = 0 (p,0)x = -py = 0

6. Directions Look at the focus or find the focus – This determines which formula to use Plug p into the equation Solve

7. I DO (Parabola Equations) Write an equation of the parabola with the given focus/directrix and vertex at (0,0) 1. (4,0)5. y = 2 2. (-2,0)6. x = -5 3. (-1/4, 0)7. x = -1/2 4. (0,1)8. y = -3

8. WE DO (Parabola Equations) Write an equation of the parabola with the given focus/directrix and vertex at (0,0) 1. (0,4)5. y = -1 2. (0,-3)6. x = 3/4 3. (0,-4)7. x = -4 4. (5/12,0)8. x = 2

9. YOU DO (Parabola Equations) Write an equation of the parabola with the given focus/directrix and vertex at (0,0) 1. (-3, 0)5. y = 5/8 2. (-5,0) 6. x = 6 3. (0, 1/2)7. y = 4 4. (0,-3/8)8. y = -1/12

10. Review Today you learned how to write the standard form of a parabola when you know the vertex and focus.

11. Homework Worksheet – 10.2B (13-20)

12. Warm Up

13. Algebra 3 Chapter 10:Quadratic Relations and Conic Sections Lesson 2: Parabolas

14. Today Today we will look at the graphs of parabolas

15. Types Standard Form with vertex (0,0) EquationFocusDirectrixAxis Of Symmetry (0,p)y = -px = 0 (p,0)x = -py = 0

16. Graphing Knowledge

17. Directions Solve the equation for the squared Look at the equation – This determines which formula to use Solve for p Find the focus Find the directrix Draw the graph

18. I DO (Graphing Parabolas)

19. WE DO (Graphing Parabolas)

20. YOU DO (Graphing Parabolas)

21. Review Today you learned…

22. Homework Worksheet – 10.2 (1 – 12)