Translate and Classify Conic Sections

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Presentation transcript:

Translate and Classify Conic Sections

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.

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

EXAMPLE 1: Graph

EXAMPLE 2: Graph

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

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

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).

EXAMPLE 5: Classify the conic given by

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.

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

HOMEWORK Sec 9.6 WS