Review Day! Hyperbolas, Parabolas, and Conics
What conic is represented by this definition: The set of all points in a plane such that the difference of the distances between and two distinct fixed points (the foci) is a constant.
Hyperbola A hyperbola is the set of all points in a plane such that the difference of the distances between and two distinct fixed points (the foci) is a constant.
What conic is represented by this definition: An open curve formed by the intersection of a double napped cone and a plane that is not parallel or perpendicular to the axis of the cone.
Parabola An open curve formed by the intersection of a double napped cone and a plane that is not parallel or perpendicular to the axis of the cone.
What conic is represented by this definition: An open curve formed by the intersection of a double napped cone and a plane that is perpendicular to the base of the cone (parallel to axis of cone).
Hyperbola An open curve formed by the intersection of a double napped cone and a plane that is perpendicular to the base of the cone (parallel to axis of cone).
What conic is represented by this definition: The set of all points that are equidistant from a fixed line (the directrix) and a fixed point (the focus) not on the line.
Parabola The set of all points that are equidistant from a fixed line (the directrix) and a fixed point (the focus) not on the line.
What conic is represented by this definition: The set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.
Circle The set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.
What conic is represented by this definition: A closed curve formed by the intersection of a double napped cone and a plane perpendicular to the axis of the cone. (parallel to the base of the cone)
Circle A closed curve formed by the intersection of a double napped cone and a plane perpendicular to the axis of the cone. (parallel to the base of the cone)
What conic is represented by this definition: The set of all points in a plane such that the sum of the distances between and two distinct fixed points (the foci) is a constant.
Ellipse The set of all points in a plane such that the sum of the distances between and two distinct fixed points (the foci) is a constant.
What conic is represented by this definition: A closed curve formed by the intersection of a double napped cone and a plane that is not parallel or perpendicular to the axis of the cone
Ellipse A closed curve formed by the intersection of a double napped cone and a plane that is not parallel or perpendicular to the axis of the cone
What conic section does this equation represent:
Hyperbola
What conic section does this equation represent:
Parabola
What conic section does this equation represent:
Hyperbola
What conic section does this equation represent:
Hyperbola
What conic section does this equation represent:
Ellipse
What conic section does this equation represent:
Ellipse
What conic section does this equation represent:
Circle
Write the Equation for this… Hyperbola Vertices at (-2, 1) and (-2, 11) Foci at (-2, 0) and (-2, 12)
Hyperbola Vertices at (-2, 1) and (-2, 11) Foci at (-2, 0) and (-2, 12)
Write the Equation for this… Parabola Vertex (4, 8) Focus (4, 6)
Parabola Vertex (4, 8) Focus (4, 6)
Write the Equation for this… Hyperbola Vertices (-6, 1) and (2, 1) Slopes of the asymptotes:
Hyperbola Vertices (-6, 1) and (2, 1) Slopes of the asymptotes:
True or False? If the.. Focus (-2, 0) and the directrix is x= -6, The parabola opens left.
False If the.. Focus (-2, 0) and the directrix is x=-6… The parabola opens left.
True or False? If the.. Vertex is at (1, 4) and the focus is at (1, 5).. The focal width is 5.
False If the.. Vertex is at (1, 4) and the focus is at (1, 5).. The focal width is 5.
Also Study: Graphing Hyperbolas & Parabolas How to find the equation of the asymptotes (see Hyperbola day #1 notes) Check out p 755 #13 and #35!