If the graph of cos(2x) is translated right 3 units, what is the new function defined by

To translate 3 units to the right, we replace all 'x' terms with (x-3)

g(x) = f(x-3)

f(x) = cos(2x) original function

f(x-3) = cos(2(x-3)) replace every x with (x-3)

f(x-3) = cos(2x-6) distribute

g(x) = cos(2x-6) is the answer

The g(x) curve is the result of shifting the f(x) curve 3 units to the right.

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.