Explain how the graph of y = -tan(4x) + 1 is related to the graph of the basic trigonometric function y = tanx

The transformed graph is reflected over the x-axis, horizontally stretched by a factor of 1/4, shifted up 1 unit, and has a period of π/4.

Step-by-step explanation:

The general form of a tan graph is: y = A tan (Bx - C) + D  where

In the given transformed graph of y = - tan (4x) + 1

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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