Algebra 2, Unit 8: Conic Sections. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
30 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a conic section?
- A curve formed by the intersection of a plane and a double cone
- What are the four main types of conic sections?
- Circle, ellipse, parabola, and hyperbola
- What is the standard equation of a circle centered at the origin?
- x^2 + y^2 = r^2
- What does 'r' represent in a circle's equation?
- The radius
- What is the standard equation of a circle centered at (h, k)?
- (x - h)^2 + (y - k)^2 = r^2
- What is an ellipse?
- A conic section forming an oval shape, with two foci
- What is the standard equation of an ellipse centered at the origin?
- x^2/a^2 + y^2/b^2 = 1
- What are the foci of an ellipse?
- Two fixed points inside the ellipse used to define its shape
- What is the major axis of an ellipse?
- The longer axis, passing through both foci
- What is the minor axis of an ellipse?
- The shorter axis, perpendicular to the major axis
- What is a parabola, as a conic section?
- A curve formed by all points equidistant from a fixed point (focus) and a line (directrix)
- What is the focus of a parabola?
- A fixed point used to define the curve
- What is the directrix of a parabola?
- A fixed line used to define the curve
- What is the standard equation of a parabola opening upward with vertex at the origin?
- y = x^2/(4p), where p is the distance to the focus
- What is a hyperbola?
- A conic section with two separate curves (branches), defined by a constant difference of distances to two foci
FlashKeepers