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2 answers:
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Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,
Answer:
Period is 2π
Horizontal shift = 0
Step-by-step explanation:
We know that and as
, so, we can write
Therefore, the if then
(Answer)
Now, the period of is 2π, hence the period of
is also 2π. (Answer)
Again. , hence, the horizontal shift of
is 0. (Answer)