Unit 10

Conic Sections and Analytic Geometry

Study conic sections — parabolas, ellipses, hyperbolas, and circles — using standard and general form equations.

Unit 10 · 7 pages

Lessons

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 10 Analytic Geometry.

Write ellipse equations in standard form; identify center, vertices, co-vertices, and foci.

Write hyperbola equations in standard form; identify vertices, foci, and asymptotes.

Write parabola equations using the focus-directrix definition; identify vertex, focus, and directrix.

Eliminate the xy-term by rotating axes; classify conics using the discriminant B²−4AC.

Write and graph conics as r = ed/(1 ± e cosθ); identify eccentricity and conic type.

Consolidate your understanding of conic sections, rotation of axes, and conics in polar coordinates.