How do you graph #y=cos(x-pi)#?

Question

Oliver Atkinson · Accepted Answer

See explanation.

To draw the graph of this function you kave to draw the graph of #y=cosx# graph{cosx [-7, 7, -2, 2]} and translate it by a vector #[pi;0]# (i.e. move the graph #pi# units to the right) graph{cos(x-pi)[-7,7,-2,2]}

Asher Friedman · Answer

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To graph the function y = cos(x - π), you would use the graph of the cosine function asTo graph $ y = \cos(x - \pi) $, follow these steps:

1.To graph the function y = cos(x - π), you would use the graph of the cosine function as a referenceTo graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify theTo graph the function y = cos(x - π), you would use the graph of the cosine function as a reference andTo graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify the parentTo graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shiftTo graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify the parent functionTo graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift itTo graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function:To graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontallyTo graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $To graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by πTo graph \( y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y =To graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π unitsTo graph \( y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cosTo graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π units toTo graph \( y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cos(xTo graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π units to theTo graph \( y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cos(x)To graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π units to the rightTo graph \( y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cos(x) \To graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π units to the right.To graph \( y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cos(x) $,To graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π units to the right.To graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cos(x) $, whichTo graph the function y = cos(x - π), you would use the graph of the cosine function as a reference and shift it horizontally by π units to the right.To graph $ y = \cos(x - \pi) $, follow these steps:

1. Identify the parent function: $ y = \cos(x) $, which is a cosine function.
2. Determine the transformations:
   - The function $ y = \cos(x - \pi) $ involves a horizontal shift of π units to the right.
3. Start with the basic cosine graph.
4. Apply the horizontal shift of π units to the right by plotting points:
   - Plot the key points of the original cosine function shifted right by π units: $(\pi, 1), (0, 0), (-\pi, -1)$.
5. Connect the points smoothly to obtain the graph of $ y = \cos(x - \pi) $.