Graphing Tangent and Cotangent Answers
vertical shifthorizontal shiftvertical stretchhorizontal stretch
Where are the asymptotes of the function?
What are the x-intercepts of the function?
Which type of transformation could cause a change in the period of a tangent or cotangent function?
What is the period of the function?
Where are the asymptotes of the function?
What are the x-intercepts of the function?
Which function is graphed?.
reflected across the x-axisshifted 3 units downstretched horizontallycompressed verticallycompressed horizontallystretched verticallyshifted 4 units rightshifted 4 units left
Which of the following equations would transform the tangent graph to the parent cotangent graph?
Which type of transformation could cause a change in the period of a tangent or cotangent function?
What is the period of the function?
Which function is graphed?.
Which of the following equations would transform the tangent graph to the parent cotangent graph?
Describe how to sketch the graph of y = –tan(2x) + 3 using the parent function.
To sketch the graph of y = –tan(2x) + 3, start with the parent function y = tan(x). First, compress the graph horizontally so that its period becomes π/2 instead of π. Next, reflect the graph across the x-axis because of the negative sign. Finally, shift the entire graph up 3 units.
Which of the following did you include in your answer?
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