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Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone.

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Presentation on theme: "Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone."— Presentation transcript:

1 Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone.

2 Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone.

3 Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone.

4 Section 7.1 – Conics Conics – curves that are created by the intersection of a plane and a right circular cone.

5 Section 7.2 – Parabolas Parabola – set of points in a plane that are equidistant from a fixed point (d(F, P)) and a fixed line (d (P, D)). Focus - the fixed point of a parabola. Directrix - the fixed line of a parabola. Axis of Symmetry Directrix Axis of Symmetry – The line that goes through the focus and is perpendicular to the directrix. Focus Vertex – the point of intersection of the axis of symmetry and the parabola. Vertex Latus Rectum – the line segment through the focus and parallel to the directrix. Latus Rectum

6 Section 7.2 – Parabolas Equations and Graphs of Parabolas EquationVertexFocusDirectrixDescription

7 EquationVertexFocusDirectrixDescription Section 7.2 – Parabolas Equations and Graphs of Parabolas

8 EquationVertexFocusDirectrixDescription Section 7.2 – Parabolas Equations and Graphs of Parabolas

9 EquationVertexFocusDirectrixDescription Section 7.2 – Parabolas Equations and Graphs of Parabolas

10 Section 7.2 – Parabolas Find the vertex, focus, directrix and the latus rectum for each equation  

11 Section 7.2 – Parabolas Find the equation given the focus (0, -2) and the directrix, x = 2  

12 Section 7.2 – Parabolas Find the equation given the vertex (3, 1) and the focus (3, 5)  

13 Section 7.2 – Parabolas  

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