True or False: For the function $f(x)=x^3$, the transformation $y=-f(x)$ results in the same graph as $y=f(-x)$.

The graph of $y=f(x)$ has a maximum point at $(-5,2)$. If the graph is reflected in the y-axis, where is the stationary point of the new graph $y=f(-x)$ located?

Let $f(x)=|x|$. Which of the following describes the sequence of transformations required to obtain the graph of $g(x)=-|x+2|$?

Consider the transformation $g(x)=f(4-x)$. Which of the following correctly describes the horizontal transformations applied to $f(x)$ in order?

True or False: A reflection in the $x$-axis is a transformation where the mirror line is the horizontal line $y=0$.