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 $x \geq 0$ 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 $x \geq 0$.

$y=\cos \left(x+45^{\circ}\right)$

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 $x \geq 0$ 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 $x \geq 0$.

$y=\cos \left(x+45^{\circ}\right)$

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 $x \geq 0$ 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 $x \geq 0$.

$y=\cos \left(x+45^{\circ}\right)$
