Casio FX-9750G Quick Start Manual page 249

• A parabola is the locus of points equidistant from fixed line
not on the line. Fixed point F is the "focus," fixed line
horizontal line that passes through the focus directrix is the "axis of symmetry,"
the length of a straight line that intersects the parabola, passes through the
locus, and is parallel to fixed line
parabola intersects the axis of symmetry is the "vertex."
Latus rectum
Axis of symmetry
• An ellipse is the locus of points the sum of the distances of each of which from
two fixed points F and F' is constant. Points F and F' are the "foci," points A, A',
B, and B' where the ellipse intersects the x- and y-axes are the "vertexes," the
x-coordinate values of vertexes A and A' are called x-intercepts, and the y-
coordinate values of vertexes B and B' are called y-intercepts.
x
-intercept A'
• A hyperbola is the locus of points related to two given points F and F' such that
the difference in distances of each point from the two given points is constant.
Points F and F' are the "foci," points A and A' where the hyperbola intersects
the x-axis are the "vertexes," the x-coordinate values of vertexes A and A' are
called x-intercepts, the y-coordinate values of vertexes A and A' are called y-
intercepts, and straight lines i and i' , which get closer to the hyperbola as they
move away from the foci are "asymptotes."
Focus F'
Graphing an Implicit Function
l
is the "latus rectum," and point A where the
l
Directrix
Vertex A
Focus F (p, 0)
y
-intercept B
Focus F'
y
-intercept B'
l
Asymptote
Vertex
Vertex
A'
l'
Asymptote
l
and fixed point F
l
is the "directrix," the
x
-intercept A
Focus F
Focus F
A
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