Sexy Conic Sections Project.. Sexy By: Sexy Mack Heitchue & Sexy Dakota Hassa
Sexy Conic Sections • A sexy figure formed by the intersection of a plane and a right circular cone. Depending on the sexy angle of the plane with respect to the cone, a sexy conic section may be a circle, an ellipse, a sexy parabola, or a hyperbola.
Sexy Parabola • Sexy Parabola: a curve formed by the intersection of a cone witha sexy plane parallel to its side • Standard form: • y = ax^2 + bx + c • y = a(x – h)^2 + k • x^2 = 4py • y^2 = 4px • x^2 = -4py • y^2 = -4px
Nick Fekaris • Nick Fekaris
Sexy Circle • Definition: A sexy circle is a sexy shape with all points the same distance from its center. • Standard Form(s): • X^2 + Y^2=r^2 • (X-H)^2 + (Y-K)^2=r^2
Cute Ellipse • Cute Ellipse: A regular cute oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cute cone is cut by an oblique plane that does not intersect the cute base • Standard Form: • + = 1 • Center is at (h,k) • Length of the major axis is 2a • Length of the minor axis is 2b • x^2/a^2 + y^2/b^2 = 1 (major axis horizontal) • x^2/b^2 + y^2/a^2 = 1 (major axis vertical) • d1 + d2 = constant • Foci: c^2 = a^2 – b^2
Moderately Attractive Hyperbola • Definition: The set of all fixed points P such that the difference of the distances of the distances from P to two fixed points called the foci, is constant. • Standard Forms: • X^2 / a^2 – y^2 / b^2 = 1 • y^2 / a^2 – x^2 / b^2 = 1