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Parabolas y = a(x-h) 2 + k. New Formula for Parabola y 2 = 4pxx 2 = 4py.

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Presentation on theme: "Parabolas y = a(x-h) 2 + k. New Formula for Parabola y 2 = 4pxx 2 = 4py."— Presentation transcript:

1 Parabolas y = a(x-h) 2 + k

2 New Formula for Parabola y 2 = 4pxx 2 = 4py

3 Video will show applications - Why do we need more formulas?

4 x 2 = 4py “p” is the absolute value of the distance from the vertex to the directrix

5 x 2 = 4py x 2 = 4(2)p

6 1. While you watch the video – Write down the examples

7 YouTube Video link: click hereclick here https://www.youtube.com/watch?v=Djnwlj6OG9k

8

9 Axis of symmetry 2. Sketch this diagram – then review the video to write an explanation Focus

10 Axis of symmetry Focus 3. Sketch this diagram – then review the video to write an explanation

11 There are captions on the video Beware: there are many errors in the written copy (note “razor blade”)

12 4. Watch other videos or read other articles Find three more examples of parabolas in real life Be specific Sketch a diagram

13 Four parts to the assignment 1.Write down at least six examples of parabolas in real life from the video “Parabola’s in the Real World” by Mr.Moses on YouTube 2.Sketch the diagram of outgoing rays on a parabolic reflector, label the focus and the axis of symmetry and explain 3.Sketch the diagram of ingoing rays on a parabolic reflector, label the focus and the axis of symmetry, and explain 4.Find three more specific examples of parabolas in real life (from videos or articles), and explain with both words and diagram. (that is: Don’t just say “basketball”, but explain where in basketball” and include something in the diagram that shows basketball) Do not repeat examples used in the video.


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