The Cosine function is graphed. It passes through (0,1), (90,0), (180,-1), (270,0), and (360,1). It is symmetric about the y-axis. A black vertex labeled on the function at (0,1). Consider the graph of y=\cos x. Its first maximum point for x\ge 0 is at \left(0^\circ ,1\right).

By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=\cos \left(x+45^\circ \right)

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The Cosine function is graphed. It passes through (0,1), (90,0), (180,-1), (270,0), and (360,1). It is symmetric about the y-axis. A black vertex labeled on the function at (0,1). Consider the graph of y=\cos x. Its first maximum point for x\ge 0 is at \left(0^\circ ,1\right).

By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=\cos \left(x+45^\circ \right)

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The Cosine function is graphed. It passes through (0,1), (90,0), (180,-1), (270,0), and (360,1). It is symmetric about the y-axis. A black vertex labeled on the function at (0,1). Consider the graph of y=\cos x. Its first maximum point for x\ge 0 is at \left(0^\circ ,1\right).

By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=\cos \left(x+45^\circ \right)
