L10-2 Obj: Students will be able to find equations for parabolas

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Presentation transcript:

L10-2 Obj: Students will be able to find equations for parabolas Obj: Students will be able to identify the vertex, focus, and directrix of a parabola

Conics Circle Parabola Ellipse Hyperbola

Parabola Equations

Write an equation for a graph that is the set of all points in the pane that are equidistant from the point F(0,3) and the line y=-3

Write an equation for a graph that is the set of all points in the plane that are equidistant from the given point F(0,-1) and the line y=1

Parabolas Write an equation for a parabola with a vertex at the origin and a focus at (0, –7).

Parabolas Identify the focus and directrix of the graph of the equation x = – y2.

Then graph

Then graph

Then graph

Parabolas Identify the vertex, the focus, and the directrix of the graph of the equation x2 + 4x + 8y – 4 = 0. Then graph the parabola.

Homework L10.2 (p 568) #2-12e, 24-40e