How can you use a table of values to graph y=cosx-2?

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Using a table of values to graph the function y=cosx-2 involves calculating the coordinates for y=cosx and then shifting all y-values down by 2 units, resulting in a y-intercept of -1. This method is valid, as translating the graph of y=f(x) downward by 2 units accurately represents the transformation to y=f(x)-2. The discussion clarifies that the -2 in the equation is indeed the c value, but the d value in the general sine and cosine function can represent angles in degrees or radians. Participants confirm that the approach makes sense and encourage confidence in applying similar methods to other functions. Overall, the technique effectively demonstrates how to graph the transformed cosine function.
supernova1203
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Graph the function y=cosx-2I have already graphed this, there are several methods to solve this, i opted to use table of values to find all the coordinates to y=cosx, then moved all the y coordinates of each point 2 units down, and the y int was at -1...would this method result in the correct graph?

the -2 is the c value I am assuming because the d value is ALWAYS in degrees, atleast in these instances.

y=asin(k(x-d))+c

y=acos(k(x-d))+c

what y int do you guys get? Does what i have done make sense?

this is to transform the function from base to y=cosx-2
 
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"I have already graphed this, there are several methods to solve this, i opted to use table of values to find all the coordinates to y=cosx, then moved all the y coordinates of each point 2 units down, and the y int was at -1...


would this method result in the correct graph? ...Does what i have done make sense?"


Yes. I don't know how you would get it really, or anything else, if it doesn't make sense.

Now I hope you will be confident to do the other ones and make sense.
 
supernova1203 said:
Graph the function y=cosx-2


I have already graphed this, there are several methods to solve this, i opted to use table of values to find all the coordinates to y=cosx, then moved all the y coordinates of each point 2 units down, and the y int was at -1...


would this method result in the correct graph?
Yes. If you know what the graph of y = f(x) looks like, the graph of y = f(x) - 2 will be the first graph translated (shifted) down by two units.
supernova1203 said:
the -2 is the c value I am assuming because the d value is ALWAYS in degrees, atleast in these instances.
That's not generally true. The input values to the trig functions can be in degrees or radians, and rarely, grads, another kind of angle measure in which 100 grads make up a right angle.
supernova1203 said:
y=asin(k(x-d))+c

y=acos(k(x-d))+c

what y int do you guys get? Does what i have done make sense?

this is to transform the function from base to y=cosx-2
 
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