Focus and Directrix Notes "Cause it's a long road to wisdom but it's a short one to being ignored." ~The Lumineers Get ready for a HWQ!
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Focus and Directrix Notes
"Cause it's a long road to wisdom but it's a short one to being ignored."
~The Lumineers
Get ready for a HWQ!
Focus and Directrix Notes
OpenerOpenerFind the missing coordinate points for the
following shapes.
SquareRhombus(2a,8b)
(2a, 6b)
(a,8b)
(?,?)
(4,8)
(5,4)
(4,0)
(?,?)
Focus and Directrix Notes
Homework Questions
Focus and Directrix Notes
Review:Review:axis of symmetry
Vertex (h,k)
vertex form:
axis of symmetryVertex (h,k)
Focus and Directrix Notes
Focus and Directrix of a Parabola
Focus: fixed point inside the parabola on the axis of symmetry
Directrix: line outside the parabola; perpendicular to the axis of symmetry
the focus and directrix are equidistant from the vertex
Focus and Directrix Notes
The ParabolaA parabola is the collection of all points P in the plane that are the same distance from a fixed point F as they are from a fixed line D.
Focus and Directrix Notes
Focus and Directrix Notes
Parabolas with vertex (h, k)(y k)2=4a(x h)
vertex:focus:directrix:axis of symmetry:
(y k)2 = 4a(x h)
vertex:focus:directrix:axis of symmetry:
Focus and Directrix Notes
Parabolas with vertex (h, k)vertex:focus:directrix:axis of symmetry:
vertex:focus:directrix:axis of symmetry:
(x h)2 = 4a(y k)
(x h)2 = 4a(y k)
Focus and Directrix Notes
Example One: Determine the 6 characteristics of
opens:vertex:focus:directrix:axis of symmetry:value of a:
Focus and Directrix Notes
Example Two: Determine the 6 characteristics of
opens:vertex:focus:directrix:axis of symmetry:value of a:
Focus and Directrix Notes
Example Three: Graph, identify the 6 characteristics, and write the equation of the parabola with vertex at (2, 3) and focus at (0, 3).
opens:vertex:focus:directrix:axis of symmetry:value of a:
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