Question

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

Answer 1

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.