Answer: G(x) = cos(x) - 1
Step-by-step explanation:
We know that y = cos(x)
remember that cos(0) = 1.
Now, by looking at the image we can see that G(x) seems to be a vertical shift.
Remember that for a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is up
if N is negative, the shift is down.
In this case we can see that when x = 0, G(0) = 0.
And remember that cos(0) = 1, then G(x) is one unit below the graph of y = cos(x).
Then we can see that G(x) is a vertical shift of one unit downwards.
Then:
G(x) = cos(x) - 1
