Graphing Tangent and Cotangent Answers
vertical shifthorizontal shiftvertical stretchhorizontal stretch
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?
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.
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