Math
posted by Matt .
Could someone please help with this question.
State the properties of y = 2sec(2x + 180°) + 3.
My answer:
First I graphed y = 2sec(2x + 180°) + 3 in the following way.
1)graph y=sec(x)
2) apply a horizontal compression by a factor of 1/2.
3) apply a vertical expansion by a factor of 2.
4)apply a reflection in the yaxis( this has no effect).
5) apply a horizontal translation of 90 degrees to the right.
7)apply a vertical translation of 3 units upward to obtain the final graph.
Now that the function is graphed, I can clearly see its properties.
Period= 180 degrees
domain= { x such that x does not = ...135, 45, 45 135....}
Range= { y such that 1>=y>=5}
Vertical asymptotes= ...135, 45, 45 135....
yintercept = (0,1)
In this correct? Thanks.
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