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WOLFRAM|DEMONSTRATIONS PROJECT

Trigonometric Functions with Four Parameters

​
function
sin
cos
tan
sec
csc
cot
a
π
4
b
0.5
c
4.3
d
1.5
show equation with
values
symbols
show one period
This Demonstration plots the graph of
y-b
d
=f
x-a
c
for various trig functions
f
. Notice how changing the parameters maintains the overall shape of the graph, but stretches, squishes, or moves it. Can you explain why each parameter changes the graph the way it does? Are there relationships between the way parameter changes affect the graph and the location where they appear in the equation?
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