How do you translate the graph of #y=sinx-2#?

1 Answer
Mar 1, 2018

Answer:

See explanation.

Explanation:

This function means that for every number (#x#) you insert, you will be getting its sine (#sin#) minus 2 (#-2#).

Since each sine cannot be less than #-1# and more than #1#
(#-1<=sin<=1#) and #2# is always subtracted, you will be always getting a certain range of numbers (Range #= [-3,-2]#).

Hence, the shape of the function is such than only take certain numbers.

The function will always be under the #x'x# axis, because highest possible value of #sinx# is #1# and #2# is always subtracted, so the function will always be equal to a negative value.

graph{y = sinx - 2 [-10, 10, -5, 5]}

I hope this makes sense to you.