Question 1115595
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The two halfway points in the period are at pi/4 and 3pi/4; that means a complete period is from 0 to pi.  So the period is the same as the basic tangent function; but it is shifted pi/2 units to the right.<br>
The y values at the halfway points of the basic tangent function are -1 and 1; with the y values at the halfway points in this example 2 and -2, the basic tangent function is multiplied by -2, and there is no vertical shift.<br>
So the function is
{{{g(x) = -2*tan(x-pi/2)}}}