The functions y - sin x and y - sin(x +a) + b, forconstants a and b, a

1.	The functions y - sin x and y - sin(x +a) + b, forconstants a and b, are graphed in the standard (x,y)coordinate plane below. The functions have the samemaximum value. One of the following statementsabout the values of a and b is true. Which statement isit?A. a < 0 and b-0B. a < 0 and b>0C. a -0 and b> 0D. a> 0 and b< 0E. a> 0 and b> 0
Answer» The only difference between our function graphs is a horizontal shift, which means that our b value (which would determine the vertical shift of a sine graph) must be 0. Just by using this information, we can eliminate every answer choice but A, as that is the only answer with b=0. For expediency's sake, we can stop here. Our final answer is A, a<0 and b=0

The functions y - sin x and y - sin(x +a) + b, forconstants a and b, are graphed in the standard (x,y)coordinate plane below. The functions have the samemaximum value. One of the following statementsabout the values of a and b is true. Which statement isit?A. a < 0 and b-0B. a < 0 and b>0C. a -0 and b> 0D. a> 0 and b< 0E. a> 0 and b> 0

Answer»

The only difference between our function graphs is a horizontal shift, which means that our b value (which would determine the vertical shift of a sine graph) must be 0.

Just by using this information, we can eliminate every answer choice but A, as that is the only answer with b=0. For expediency's sake, we can stop here.

Our final answer is A, a<0 and b=0

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