1
Day 12
Lecture 11
for 2/15/2011
Graphing Sine and Cosine,
with V/H SCR
Vertical S.C.R.
Suppose
t
is fixed and we have two functions
f(x)
and
v(x)
, where
Then (t, _________ ) is a point on the
graph of
f
,
and
(t, _________ ) is a point on the
graph of
v
.
Observation
: “If a function is multiplied by a number, then the y
coordinates of points on the
new graph
are the ycoordinates of
points on the
old graph multiplied
by the _________
number
.”
Experiment
: On the next slide, we will look at a random function’s
graph and examine
1) How _________ points are to the x and y axes.
2) On which _________of an axes do points lie.
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Vertical S.C.R.  Experiment
The graph of
and the ____ cases of
a
.
Slide: 3 of 14
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Vertical S.C.R.  Conclusion
Closeness to the xaxis depends on the ____________ of
a,
not the
________ of
a
.
Similarly, the side of xaxis [points lay on] depends on the ________
of
a
, not the ____________ of
a
.
Summarized
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 Spring '11
 Gentimis
 Algebra, Trigonometry, Periodic function, old graph

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