Trigonometry: Graphs
Terms
Amplitude
-
One-half the distance between the minimum and maximum value of a
periodic
function.
Graph
-
A drawing of the coordinate plane with points
plotted on it.
Phase Shift
-
The constant by which functions
are horizontally shifted from one another.
Shift
-
The vertical or horizontal movement of the graph of a
function without changing the
shape of the graph.
Stretch
-
The vertical or horizontal changing of the graph of a
function such that its shape
changes, but its orientation does not--for a function
f
,
f (0, 0)
remains the
same.
Vertical Line Test
-
A method to determine whether a given plotted line on a graph is a
function. If a vertical line can
be placed somewhere in the coordinate plane such that it intersects with the
graph twice, the graph is not a function. Two intersections with a vertical
line signify that for a given value of
x
, there are two possible values of
f (x)
,
which by definition is impossible for a function.
