How does the graph of g(x)=cos(x)−12

compare with the parent function g(x)=cosx
?(1 point)
Responses

The graph is shifted 12 units right.
The graph is shifted 12 units right.

The graph is shifted 12 units left.
The graph is shifted 12 units left.

The graph is shifted 12 units down.
The graph is shifted 12 units down.

The graph is shifted 12 units up.

1 answer

The function \( g(x) = \cos(x) - 12 \) compares to the parent function \( g(x) = \cos(x) \) by shifting the graph vertically. Specifically, the "-12" indicates that the entire graph of the cosine function is moved downwards by 12 units.

So, the correct response is:

The graph is shifted 12 units down.