1. Translate and Classify Conic Sections

2. California Standard:
17.0: Given a quadratic equation of the form , students can use the method for completing the square to put the equation into standard form and can recognize whether the graph of the equation is a circle, ellipse, parabola, or hyperbola. Students can then graph the equation.

3. By following instructions, students will be able to:
OBJECTIVE(S):
By following instructions, students will be able to:
Translate conic sections.

5. EXAMPLE 1:
Graph

6. EXAMPLE 2:
Graph

7. U-TRY#1:
Graph the equation. Identify the important characteristics of the graph. A) B) C) D)

8. EXAMPLE 3:
Write an equation of the parabola whose vertex is at (-2,3) and focus is at (-4,3).

9. EXAMPLE 4:
Write an equation of the ellipse with foci at (1,2) and (7,2) and co vertices at (4,0) and (4,4).

11. EXAMPLE 5:
Classify the conic given by

12. EXAMPLE 6:
In a lab experiment, you record images of a steel ball rolling past a magnet. The equation model the
ball’s path.
What is the shape of the path?
Write an equation for the path in standard form?
Graph the equation of the path.

13. U-TRY #2:
Classify the conic section and write its equation in standard form. Then graph the equation. A) B) C) D)

14. HOMEWORK
Sec 9.6 WS