Studied by 1 personWhat is a circle?
A circle is the set of all points that are equidistant from a fixed point, the center.
What is an ellipse
The set of all points such that the sums of the distances between a select point and two distinct fixed points, called the foci, is a constant
What is a hyperbola?
The set of all points such that the difference of the distances between a select point and two distinct fixed points, called the foci is a constant
What is a parabola?
the set of all points equidistant from a fixed point and a fixed line
What is the horizontal parabola equation?
y^2 = 4px
What is the vertical parabola equation?
x^2 = 4py
What is the focus in the x^2 = 4py form?
(0, p)
What is the focus in the y^2 = 4py form?
(p, 0)
What is the directrix in the x^2 = 4py form?
y = -p
What is the directrix in the y^2 = 4py form?
x = -p
What is the eccentricity formula?
c/a
What is the horizontal equation for a hyperbola?
x^2/a^2 - y^2/b^2 = 1
What is the vertical equation for a hyperbola?
y^2/b^2- x^2/a^2 = 1
What is the equation related to foci for hyperbolas?
c^2 = a^2 + b^2
What is the asymptote equation for a horizontal hyperbola?
y = +-bx/a
What is the asymptote equation for a vertical hyperbola?
y = +-ax/b
What is the standard form of a circle/
x^2 + y^2 = r^2
What denominator is a in an ellipse?
the bigger number
What is the equation for a horizontal ellipse?
x^2/a^2 + y^2/b^2 = 1
What is the equation for a vertical ellipse?
x^2/b^2 + y^2/a^2 = 1
What are the key features in a circle?
center, radius
What are the key features in an ellipse?
vertices, co-vertices, foci
What are the key features in an hyperbola?
vertices, foci, asymptotes, center
What are the key features in a parabola?
vertex, focus, directrix
Note
Flashcard