Casio fx-9750G Implicit Function Graphs Manuel d'utilisateur télécharger pdf (Page 5)

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• A parabola is the locus of points equidistant from fixed line l and fixed point F

not on the line. Fixed point F is the “focus,” fixed line l is the “directrix,” the

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 l is the “latus rectum,” and point A where the

parabola intersects the axis of symmetry is the “vertex.”

• 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.

• 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.”

Axis of symmetry

Latus rectum

Directrix

Vertex A

Focus F (p, 0)

Graphing an Implicit Function 14 - 2

-intercept A’

Focus F’ Focus F

-intercept A

-intercept B’

-intercept B

Focus F' Focus F

Vertex

A’

Vertex

Asymptote

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Casio fx-9750G Implicit Function Graphs Manuel d'utilisateur Page 5