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Section 10.2 The Parabola Copyright © 2013 Pearson Education, Inc. All rights reserved.

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Presentation on theme: "Section 10.2 The Parabola Copyright © 2013 Pearson Education, Inc. All rights reserved."— Presentation transcript:

1 Section 10.2 The Parabola Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Analyze parabolas with vertex at the origin.
Objectives Analyze parabolas with vertex at the origin. Analyze parabolas with vertex at (h,k). Copyright © 2013 Pearson Education, Inc. All rights reserved

3 Parabola Definition Copyright © 2013 Pearson Education, Inc. All rights reserved

4 Copyright © 2013 Pearson Education, Inc. All rights reserved

5 Copyright © 2013 Pearson Education, Inc. All rights reserved

6 Copyright © 2013 Pearson Education, Inc. All rights reserved

7 Find an equation of the parabola with vertex at (0, 0) and focus at (3, 0). Graph the equation.
Copyright © 2013 Pearson Education, Inc. All rights reserved

8 Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Copyright © 2013 Pearson Education, Inc. All rights reserved

10 Find the equation of the parabola with focus at (0, 4) and directrix the line y = – 4. Graph the equation. Copyright © 2013 Pearson Education, Inc. All rights reserved

11 Copyright © 2013 Pearson Education, Inc. All rights reserved

12 Copyright © 2013 Pearson Education, Inc. All rights reserved

13 Copyright © 2013 Pearson Education, Inc. All rights reserved

14 Find an equation of the parabola with vertex at (2, 3) and focus at (0, 3). Graph the equation.
Copyright © 2013 Pearson Education, Inc. All rights reserved

15 Use a calculator to graph
Copyright © 2013 Pearson Education, Inc. All rights reserved

16 Copyright © 2013 Pearson Education, Inc. All rights reserved

17 Homework 10.2 #11-18 all, 19, 21, 27, 29, 37, 39, 55 Copyright © 2013 Pearson Education, Inc. All rights reserved


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