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Graph the following function: X y = 3 cos (+1) +1 2 Drag the black dot to shift your graph in the desired direction. Use the blue draggable dot to change the period. Drag the orange dot to change the amplitude and/or reflect with respect to the x-axis. The horizontal distance between the vertical dotted green lines corresponds to one period.

Graph the following function: X y = 3 cos (+1) +1 2 Drag the black dot to shift your graph in the desired direction. Use the blue draggable dot to change the period. Drag the orange dot to change the amplitude and/or reflect with respect to the x-axis. The horizontal distance between the vertical dotted green lines corresponds to one period.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-6 -5 -4 3- N -2- V -2TT 0 -1- --2 --3- -4 -5 (0,1) -6 (0,0) ● ● I ● ● • 2TT (2π, 1) 4TT
Transcribed Image Text:-6 -5 -4 3- N -2- V -2TT 0 -1- --2 --3- -4 -5 (0,1) -6 (0,0) ● ● I ● ● • 2TT (2π, 1) 4TT
Graph the following function: X y = 3 cos cos ( + 4) +1 Drag the black dot to shift your graph in the desired direction. Use the blue draggable dot to change the period. Drag the orange dot to change the amplitude and/or reflect with respect to the x-axis. The horizontal distance between the vertical dotted green lines corresponds to one period.
Transcribed Image Text:Graph the following function: X y = 3 cos cos ( + 4) +1 Drag the black dot to shift your graph in the desired direction. Use the blue draggable dot to change the period. Drag the orange dot to change the amplitude and/or reflect with respect to the x-axis. The horizontal distance between the vertical dotted green lines corresponds to one period.
Expert Solution
Step 1

The given function is y=3cosx2+π4+1.

 

To draw the graph of the function.

When the graph of the function fx is stretched vertically by a factor of a then we obtain the graph of afx.

When the graph of the function fx is stretched horizontally by a factor of b then we obtain the graph of fxb.

When the graph of the function fx is shifted vertically by k units then we obtain the graph of fx+k.

When the graph of the function fx is shifted horizontally by h units then we obtain the graph of fx-h.

 

For the graph of the function y=acosbx+c+d here a is the amplitude, 2πb is the period.

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