Conic Sections Parabola Ellipse Hyperbola 11.8 Polar Equations of Conic Sections (skip 11.7) Unit 1 – Conic Sections Section 1.3 – The Parabola Calculator Required Vertex: (h, k) Opens Left/RightOpens Up/Down Vertex: (h, k) Focus: Directrix: Axis. What is the standard form of a parabola...
Conic Sections for Macintosh Conic Sections is a collection of interactive mathematical visualizations for exploring circles, ellipses, parabolas, and hyperbolas. It builds them from explicit equations, geometric constructions and parametric equations in rectangular and polar coordinates....
In the notation of the figure, 685 686 Chapter 10: Conic Sections and Polar Coordinates Circle: plane perpendicular Ellipse: plane oblique Parabola: plane parallel Hyperbola: plane cuts to cone axis to cone axis to side of cone both halves of cone (a) Point: plane through Single line: ...
11.4 Shifted Conics 11.5 Rotation of Axes 11.6 Polar Equations of Conics FOCUS ON MODELING Conics in Architecture Circle Ellipse Parabola Hyperbola Our goal in this chapter is to find equations whose graphs are the conic sections. We already know from Section 1.8 that the graph of the equation...
For example, a horizontal slice gives us a circle, and if we change the angle of the intersection plane slightly, we'll get an ellipse. You can explore how to obtain a parabola and a hyperbola as well. This would work well with an Interactive White Board. The link again: Interactive 3...