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197
Graphing an Implicit Function 14 - 2
• Implicit function graphs can be drawn in blue only.
• You cannot overwrite implicit function graphs.
• The calculator automatically clears the screen before drawing a new implicit
function graph.
• You can use trace, scroll, zoom, or sketch after graphing an implicit function.
However, an implicit function graph cannot be scrolled while using trace.
• You cannot incorporate graphing of an implicit function into a program.
x
-intercept A’
x
-intercept A
y
-intercept B’
y
-intercept B
Focus F’ Focus F
Vertex A
Directrix
l
Axis of symmetry
Focus F (p, 0)
• 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 symme-
try,” 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.
Latus rectum
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