Describe how the graphs of and are related. (1 point) Responses The two graphs have the same shape but the second graph is shifted 2 units right. The two graphs have the same shape but the second graph is shifted 2 units right. The two graphs have the same shape but the second graph is shifted 2 units up. The two graphs have the same shape but the second graph is shifted 2 units up. The two graphs have the same shape but the second graph is shifted 2 units left. The two graphs have the same shape but the second graph is shifted 2 units left. The two graphs have the same shape but the second graph is shifted 2 units down.
The two graphs have the same shape but the second graph is shifted 2 units right.
The correct answer is:
The two graphs have the same shape but the second graph is shifted 2 units right.
To describe how the graphs of f(x) and f(x-2) are related:
The two graphs have the same shape, which indicates that the general pattern of the function remains unchanged. This means that the same set of points will be connected by the graph.
The difference lies in the shift of the second graph. When the expression f(x) is replaced with f(x-2), it indicates that the entire graph of f(x) has been shifted 2 units to the right.
So, the correct statement would be: The two graphs have the same shape but the second graph is shifted 2 units right.