SOLUTION: Graph the function for two periods. f(x)=tan(x)-2 Identify the stretching factor and midline equation.

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Question 1205034: Graph the function for two periods.
f(x)=tan(x)-2
Identify the stretching factor and midline equation.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the function for two periods.
f%28x%29=tan%28x%29-2
+graph%28+600%2C+600%2C+-7%2C+7%2C+-7%2C+7%2C++tan%28x%29-2%29+

Identify the stretching factor and midline equation.

Tangent Function of the Form
y+=+a+%2Atan+%28b%28x+-+h%29%29+%2B+k
.
a - gives the amplitude, or vertical stretch or compression, for the function.
b - indicates the horizontal compression factor for the function.
the period= pi%2F+b
h+-gives the horizontal shift for the function.
k - gives the vertical shift for the function.

The graph of tangent has no maximum or minimum value. Therefore, tangent is an example of a periodic function with NO+midline or+amplitude.

f%28x%29=tan%28x%29-2+
In this case,
amplitude: none
b=1, the period of tangent is+pi%2Fb=pi%2F1=pi
h+=0-indicates there is no horizontal shift
k+=+-2, indicating a vertical+shift of two units down