Write an equation that models each of the following translations
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ANSWER
[tex]y = \cos3(x - 2) [/tex]
EXPLANATION
We have
[tex]y = \cos(3x) [/tex]
This function is of the form:
[tex]y = a \cos(b(x - c)) [/tex]
The value of c shifts the graph c units to the right.
If the graph of this function is shifted 2 units to the right, then the equation becomes;
[tex]y = \cos(3(x - 2)) [/tex]
The equation will be y = cos (3x-2)
See the attached figure
The blue line shows the graph shifted by 2 units to the right while the red line shows the original graph