graph the following function: $y = 1+\frac{1}{2}\tan(\frac{2pi}{5}x + 3pi)$\nstep 1 of 2 : identify the…

graph the following function: $y = 1+\frac{1}{2}\tan(\frac{2pi}{5}x + 3pi)$\nstep 1 of 2 : identify the shape of the more basic function that has been shifted, reflected, stretched or compressed.

graph the following function: $y = 1+\frac{1}{2}\tan(\frac{2pi}{5}x + 3pi)$\nstep 1 of 2 : identify the shape of the more basic function that has been shifted, reflected, stretched or compressed.

Answer

Explanation:

Step1: Analyze the function form

The given function is $y = 1+\frac{1}{2}\tan(\frac{2\pi}{5}x + 3\pi)$. It is a transformation of the tangent - function. The general form of a tangent function is $y = A\tan(Bx - C)+D$. Here, $A=\frac{1}{2}$, $B = \frac{2\pi}{5}$, $C=- 3\pi$, $D = 1$.

Answer:

The third graph (the one with the shape of a tangent - function)