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Which of the following equations would transform the tangent graph to the parent cotangent graph?

A) y=tan(x+pi/2)

B) y=-tan(x-pi)

C) y=-tan(-x-pi/2)

D) y=-tan(x-pi/2)

Answer :

loumast

Answer:

D

Step-by-step explanation:

First you need to make it either -tan(x) or tan(-x) to get it oriented correctly (Flipped over the x or y axis, either works) and then moved left or right by pi/2, again, either works.  You cannot have both tangent itself and x be negative though, like in C, because that just undoes the flipping.    just like a +pi/2 would undo a-pi/2.

The equation -tan(x - π/2) is the transform the tangent graph to the parent cotangent graph option (D) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

y = cot(x)

To transform the tangent graph to the parent cotangent graph

Plug x → (x - π/2)

And y → -y

y = -tan(x - π/2)

Thus, the equation -tan(x - π/2) is the transform the tangent graph to the parent cotangent graph option (D) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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