The graph of y=tan (x) is vertically stretched by a factor of 2, shifted a distance of 1 units to the left, and then translated 7 units upward.

Write the equation for the curve in its final position.

f (x) =

Equation for the curve in its final position is y = 2tan (x + 1) + 7.

Step-by-step explanation:

We have to find equation for the curve of y=tan (x), with following transformations:

vertically stretched by a factor of 2: y = 2tan (x)

shifted a distance of 1 units to the left: y = 2tan (x+1)

translated 7 units upward: y = 2tan (x + 1) + 7