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Warm Up. 10.2 Parabolas (day two) Objective: To translate equations into vertex form and graph parabolas from that form To identify the focus, vertex,

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Presentation on theme: "Warm Up. 10.2 Parabolas (day two) Objective: To translate equations into vertex form and graph parabolas from that form To identify the focus, vertex,"— Presentation transcript:

1 Warm Up

2 10.2 Parabolas (day two) Objective: To translate equations into vertex form and graph parabolas from that form To identify the focus, vertex, axis of symmetry, directrix and length of latus rectum. Standard: Translate between the geometric description and the equations for a conic section ( G-GPE)

3 The line segment through the focus, perpendicular to the axis of symmetry

4 Form of equation Vertex(h,k) Axis of symmetry Focus Directrix Direction of opening Upward if a>0 Downward if a <0 Right if a >0 Left if a <0 Length of Latus Rectum Parabolas

5 1) Write in vertex form x=a(y-k)+h 2) Identify vertex (h,k) ( now opposite of k you see) 3) Axis of symmetry y=k

6 Find and then graph Vertex,axis of symmetry, focus, directrix, direction of opening and length of latus rectum.

7 practice

8 practice

9

10 HW p 571 # 5,6,8,10,12,15,16,25,29,30


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